Charges can move across the cell membrane, so it is not a perfect insulator; the cell membrane has a certain resistance. The resistivity of the cell membrane is 3.6 x 107 Ω • m. What is the resistance of the 7.0-nm-thick membrane of a spherical cell with diameter 0.050 mm?

Charges can move across the cell membrane, so it is not a perfect insulator; the cell membrane has a certain resistance. The resistivity of the cell membrane is 3.6 x 107 Ω • m. What is the resistance of the 7.0-nm-thick membrane of a spherical cell with diameter 0.050 mm?

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter27: Current And Resistance

Section: Chapter Questions

Problem 27.73AP

See similar textbooks

Related questions

Q: How much would you have to raise the temperature of a copper wire (originally at 20◦C) to increase…

Q: 3. A nerve fiber may be approximated as a cylinder with a diameter of 1 × 10−5 ? and a length 2.0 ×…

A: The resistance of any object depends on the material used, resistivity, and on the geometrical…

Q: A wire 3.00 m long and 0.450 mm2 in cross-sectional area has a resistance of 40.8 Ω at 20.0°C. If…

Q: Wire C and wire D are made from different materials and have length L. = LD-1.0 m (Figure B). The…

Q: A high-voltage power transmission line is 200 km long, and is constructed of aluminium cable of…

A: Givenlength (l) =200 km =2 × 105 mDiameter (d) 30 mm⇒ Radius (r) =15 mm = 15 × 10-3 m

Q: A spool of iron wire 320 m long and with a diameter of 0.360 mm is at 20.0°C. For iron, the…

A: Given value--- length =320 m. diameter = 0.36 mm. resistivity = 10 × 10-8 ohm m. temperature…

Q: A spool of tungsten wire 320 m long and with a diameter of 0.480 mm is at 20.0°C. For tungsten, the…

A: part a and b are solved so with the help of this we will solve part c .

Q: An aluminum wire has a length of 27.0 m and a resistance of 4.30 2 at 20.0°C. Assuming a circular…

Q: A ribbon of material with a rectangular cross sectional area of (0.25 mm x 1.00 mm), length 21.9 cm…

Q: You apply a potential difference of 9 V between the ends of a wire that is 2.50 m in length and…

A: Given data: Potential difference (V) = 9 V Length (L) = 2.50 m Radius (r) = 0.654 mm = 0.654×10-3 m…

Q: What should be the diameter of an aluminum wire for its resistance to be equal to that of a copper…

A: solution as

Q: A piece of wire has resistance of 1.25 2. The wire is made of a material with resistivity 8.2x10-7…

Q: Consider a portable electric blanket that runs on a 4.5 V battery. If you use copper wire with a 0.5…

A: Given that:- Diameter of wire=0.5mm Resistivity of copper wire=1.7×10^-8 ohm×m

Q: What is the resistance of a 3.9 m length of copper wire 1.3 mm in diameter? The resistivity of…

A: The resistance of a wire is given by, R = ρlA Here, ρ is the resiticvity of the…

Q: A spool of copper wire 290 m long and with a diameter of 0.360 mm is at 20.0°C. For copper, the…

A: The wire's resistivity is, ρ=1.7×10-8 Ω The wire's length is, L=290 m The radius of wire is, r=0.360…

Q: What is the resistance of a 3.4-mm length of copper wire 1.3 mm in diameter? The resistivity of…

Q: A spool of iron wire 260 m long and with a diameter of 0.320 mm is at 20.0°C. For iron, the…

Q: A block of aluminum of volume 340 mm is used to make a wire 13,4 m long. What is the resistance (in…

A: Given: The volume of aluminum is 340 mm3. The length of the aluminum wire is 13.4 m. The resistivity…

Q: When a potential difference of 12 V is applied to a wire 8.5 m long and 0.41 mm in diameter the…

A: Given : Potential difference, V = 12 V Length, L = 8.5 m ; Diameter, D = 0.41 mm Current, I = 2.8…

Q: A nichrome wire and an aluminum wire, each with the same initial resistance, have the same change in…

A: Given ???=2⋅82×10−8?−? ???=3⋅9×10−3??−1 ???=2⋅5×10−6⋅?−? ???=0.4×10−3??−1

Q: A wire with a length of 3.0 m and a radius of 0.5 mm has a resistance of 0.50 Q2. What is the…

Q: A block of carbon, 1.0 cm by 2.0 cm by 5.0 cm, has a resistance of 0.015 Ω between its two smaller…

A: The resistivity of carbon is 0.0051 ohm-m.

Q: What is the resistance of (a) A 1.8-mm-long gold wire that is 0.10 mm in diameter? Express your…

Q: Three equally long meter-long copper wires with diameters of 1 mm, 2 mm and 3 mm are connected in…

A: The area of the first wire is, A1=πr12=πd124=3.141 mm24=0.785 mm2 The area of the second wire is,…

Q: A wire (length = 2.0 m, diameter = %3D 1.0 mm) has a resistance of 0.45 Q. What is the resistivity…

Q: The graph below represents the relationship between the resistance and the length of a wire of a…

Q: hat is the electrical resistance of a copper wire that has a radius of 0.80 mm and a length of 2.0…

A: Given: The radius of the wire is 0.8 mm. The length of the wire is 2 m. The resistivity of the wire…

Q: A copper wire has a length of 38.0 m and a resistance of 4.10 Q at 20.0°C. Assuming a circular…

Q: Consider a portable electric blanket that runs on a 6 V battery. If you use copper wire with a 0.75…

Q: A metal has a resistivity of 1.26 x 10-8 0 m. What will the resistance of the following wires made…

Q: A high-voltage power transmission line is 200 km long, and is constructed of aluminium cable of…

A: Given that, Length of the cable (l)= 200 km = 200000 m Diameter (d)= 30 mm = 30× 10-³ m So, radius…

Q: An aluminum rod with a square cross-section is 2.6 m long and 5.3 mm on edge. (a) What is the…

A: Given data: Length of aluminum rod is, La=2.6 m. Edge length of aluminum rod is, a=5.3 mm=5.3×10-3…

Q: Consider a thin aluminum wire with diameter d= 6 mm The resistivity of aluminum is 2.65x10-8 Q.m.…

A: Recall R=ρL/A

Q: Material with uniform resistivity p is formed into a wedge as shown in Figure P26.50. Show that the…

Q: Consider a portable electric blanket that runs on a 4.5 V battery. If you use copper wire with a 0.5…

Q: Two conductors are made of the same material and have the same length. Conductor 1 is a solid wire…

A: R=p l/a where R is the resistance, p is the resistivity of the wire, l is the length and a is the…

Q: A spool of copper wire 320 m long and with a diameter of 0.360 mm is at 20.0°C. For copper, the…

Q: Consider a portable electric blanket that runs on a 4.5 V battery. If you use copper wire with a…

Q: A spool of tungsten wire 320 m long and with a diameter of 0.480 mm is at 20.0°C. For tungsten, the…

Q: The figure gives the electric potential V(x) along a copper wire carrying uniform current, from a…

A: The resistance of a wire of length L, cross-section area A, and resistivity ρ is given by, R=ρLA The…

Q: A ribbon of material with a rectangular cross sectional area of (0.25 mm x 1.00 mm), length 21.9 cm…

A: The resistance of a material is proportional to R∝lAR=ρl A ρ=resistivity The…

Q: Consider a portable electric blanket that runs on a 6 V battery. If you use copper wire with a 0.75…

A: Given data: Battery voltage (V) = 6 V Wire diameter (D) = 0.75 mm = 0.75×10-3 m Power (P) = 15 W The…

Q: Consider a portable electric blanket that runs on a 4.5 V battery. If you use copper wire with a 0.5…

Q: As part of a class project you are given 0.900 g of copper and asked to fabricate a wire with…

A: Given : Mass of copper given = 0.9 g Copper used =95% =95100×0.9 = 0.855 g =0.855×10-3 kg…

Q: An aluminum rod with a square cross section is 1.8 m long and 6.2 mm on edge. (a) What is the…

Concept explainers

Resistivity

Resistivity is a characteristic property of the conductor’s material that measures the extent to which the material opposes the flow of current. It is denoted by the Greek letter “rho”. Electrical resistivity, also known as specific resistance, depends on the nature of the material of the conductor and is unaffected by its dimensions.

Question

Charges can move across the cell membrane, so it is not a perfect insulator; the cell membrane has a certain resistance. The resistivity of the cell membrane is 3.6 x 10⁷ Ω • m. What is the resistance of the 7.0-nm-thick membrane of a spherical cell with diameter 0.050 mm?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A 10.00-meter long wire cable that is made of copper has a resistance of 0.051 ohms, (a) What is the weight if the wire was made of copper? (b) What is the weight of a 10.00-meter-long wire of the same gauge made of aluminum? (c)What is the resistance of the aluminum wire? The density of copper is 8960 kg/m3 and the density of aluminum is 2760 kg/m3.
Taking R = 1.00 k and = 250 V in Figure P21.49, determine the direction and magnitude of the current in the horizontal wire between a and e. Figure P21.49
An insulated extension cord is made of a 1.5 m long copper rod with a diameter of 2.3 mm. What is the resistance of the extension cord? If an aluminum wire of the same length will be used instead of copper, what should be the diameter of the aluminum wire to have the same resistance?
A 580 mm long tungsten wire, with a 0.048 mm diameter circular cross section, is wrapped around in the shape of a coil and used as a filament in an incandescent light bulb. When the light bulb is connected to a battery, a current of 0.536 A is measured through the filament. Tungsten has a resistivity of 4.9 x 10-8 Ohms x m. How many electrons pass through this filament in 5 seconds? What is the resistance of this filament? What is the voltage of the battery that would produce this current in the filament?
A gold wire with a circular cross-section has a mass of 1.30 g and a resistance of 0.770 Ω. At 20°C, the resistivity of gold is 2.44 ✕ 10−8 Ω · m and its density is 19,300 kg/m3. How long (in m) is the wire? m What is the diameter (in mm) of the wire? mm
a)If a certain silver wire has a resistance of 8.40 Ω at 16.0°C, what resistance will it have at 46.0°C?________Ω b)Gold is the most ductile of all metals. For example, one gram of gold can be drawn into a wire 2.17 km long. The density of gold is 19.3 ✕ 103 kg/m3, and its resistivity is 2.44 ✕ 10−8 Ω · m. What is the resistance of such a wire at 20.0°C?________MΩ
You have a 100 meter long hollow square copper wire that has a side length of 5mm. The diameter of the cylindrical interior is 3.5 mm. If copper had a resistivity of (1.7x10^(-8)Ωm, what is the resistance of the wire? The units for the options are Ω. a.0.022 b. 0.068 c.0.11 d. 0.18 E.0.24
An extension cord has a resistivity of p = 7.5 x 10-8 Ω.m. The cord is made from copper wire with a diameter D = 0.45 cm and it is L = 9.9 m long. (a) What is the resistance in ohms? R = (b) If a current of I= 2.95 A passes through the wire what voltage is the cord connected to, in volts? V=
An aluminum wire with a circular cross-section has a mass of 1.45 g and a resistance of 0.630 Ω. At 20°C, the resistivity of aluminum is 2.82 ✕ 10−8 Ω · m and its density is 2,700 kg/m3. How long (in m) is the wire? What is the diameter (in mm) of the wire?
A 1.30 m cylindrical rod of diameter 0.500 cm is connected to a power supply that maintains a constant potential difference of 15.0 V across its ends, while an ammeter measures the current through it. You observe that at room temperature (20.0∘C) the ammeter reads 18.8 A, while at 92.0∘C it reads 16.6 A. You can ignore any thermal expansion of the rod. (A) Find the resistivity for the material of the rod at 20∘C Express your answer with the appropriate units. (B) Find the temperature coefficient of resistivity at 20∘C for the material of the rod. Express your answer in inverse degrees Celsius.
A copper wire is r = 0.0250 cm in radius and 3.00 m in length, has resistivity ρ = 1.72x10^–8 Ωm, and carries a current of 0.400A. The wire has a charge carrier density of 8.50x10^28 electrons/m3.a. The resistance, R, of the wire is:____Ω.b.The electric potential difference, V, across the wire is:____V.c.The electric field, E, in the wire is:____V/m.
A gold wire has a length of 23.0 m and a resistance of 4.70 Ω at 20.0°C. Assuming a circular cross-section, what is the wire's diameter (in mm)? The resistivity of gold at 20.0°C is 2.44 ✕ 10−8 Ω · m