A 140-turn circular coil has diameter 5.0 cm . A magnetic ﬁeld perpendicular to the coil is changing at 0.85 T/s . Can you help in conceptually understanding how to figure out the induced emf in the coil?

A 140-turn circular coil has diameter 5.0 cm . A magnetic ﬁeld perpendicular to the coil is changing at 0.85 T/s . Can you help in conceptually understanding how to figure out the induced emf in the coil?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter23: Faraday’s Law And Inductance

Section: Chapter Questions

Problem 55P

See similar textbooks

Related questions

Q: Suppose a 50-turn coil lies in the plane of the page in a uniform magnetic field that is directed…

A: Given: Number of turns, N = 50 initial Area, A = 0.25 m2 final area,A' = 0 m2 time, t = 0.1 s…

Q: Suppose the 50 turn coil in the figure below lies in the plane of the page and originally has an…

A: Given:no of turns, n = 50Initial area, Ai = 0.270 m2Final are, Af = 0 m2Time taken, t = 0.1…

Q: Suppose a 50-turn coil lies in the plane of the page in a uniform magnetic field that is directed…

A: Given: Turns in coil N = 50 Cross sectional area of coil A = 0.25 m2. dAdt=0.250.1dAdt=2.5 m2/s…

Q: A circular coil that has N = 280 turns and a radius of r = 11.0 cm lies in a magnetic field that has…

Q: DA flat coil of wire (0.1m by 0.2m) has 50 turns. At t=0, the coil is perpendicular to a magnetic…

Q: Suppose a 50-turn coil lies in the plane of the page in a uniform magnetic field that is directed…

A: The induced emf is given by the rate of change of magnetic flux. e =dϕdt= BdAdt

Q: A 25 cm radius single circular wire coil is removed from a 4.5 x 10-4 T magnetic field in 0.25 s.…

A: Given: The radius of the coil is 25 cm. The initial magnetic field is 4.5x10-4 T. The time interval…

Q: A fixed 10.8cm diameter wire coil is perpendicular to a magnetic field 0.48T pointing up. In .16s,…

Q: The flexible loop in the figure below has a radius of 15 cm and is in a magnetic field of strength…

Q: A coil of wire with 10 turns and a radius of 1.5 cm is oriented with the plane of the coil…

Q: The figure below displays a circular loop of aluminum wire in a uniform magnetic field pointing into…

A: CONCEPT: we know, Magnetic flux Φ=BA as magnetic field B is constant so change in magnetic flux…

Q: A student winds a coil of area 35 cm2 with 34 turns. They place it horizontally in a vertical…

Q: A loop of copper wire is placed in a magnetic field B with its plane at right angles to the field.…

A: According to Lenz's law, the induced emf generates a current, which creates a magnetic field that…

Q: A thin conducting rod of length b is rotated with constant angular speed w on a borizoutal circular…

Q: A circular coil wire contains 1000 loops of wire. This coil has an area of 0.5 m2. A uniform…

A: Number of loops, N=1000 Area of cross section of loop, A=0.5m2 Initial strength of magnetic field,…

Q: A 26-turn circular coil of radius 4.20 cm and resistance 1.00 N is placed in a magnetic field…

Q: A rectangular coil of wire (150 mm x 200 mm) contains 25 loops. The angle between the normal line…

Q: A long, straight solenoid with a cross-sectional area of 8.00 cm2 is wound with 90 turns of wire per…

A: Expression for magnetic field - B=μoni .....(1) Where, μo=4π×10-7 N.A-2 Given values- n=90 per cm…

Q: What is the EMF induced when the magnetic field changes from 2.3 T to 0.5 T in 10 seconds with a 2 m…

Q: The flexible loop in Figure has a radius of 34.8 cm and is in a magnetic field of magnitude 0.150 T.…

A: Given data: The radius of the circular loop is, r= 34.8 cm The magnitude of the magnetic field is,…

Q: A long solenoid has 400 turns per meter and carries a current I= (30.0 A) (1- e-1.60t ). Inside the…

A: Given data: The number of turns of the solenoid, n=400/m. The current flowing through the solenoid,…

Q: The induced e.m.f. in a coil is 2.10 × 10-2 V when the current in it is changing at a rate of 7.00 x…

Q: A coil of 1000 turns encloses an area of 25 cm2 . It is rotated in 0.010 s from a position where its…

Q: A square coil of side 4 cm and 200 windings initially lies perpendicular to a magnetic field of 4.0T…

Q: A 90-turn square coil constructed from aluminum wire is placed in a uniform 1.05-T magnetic field…

A: According to Faraday law Induced emf is rate of change of magnetic flux.

Q: A circular loop in the plane of a paper lies in a 0.65 T magnetic field pointing into the paper. The…

Q: A circular loop of wire of radius 13.0 cm is placed in a magnetic field directed perpendicular to…

Q: A circular conducting loop with radius 2.80 cm is placed in a uniform magnetic field of 0.650 T with…

Q: A coil formed by wrapping 55 turns of wire in the shape of a square is positioned in a magnetic…

A: Given value--- number of turns = 55 . angle = 36 degree . change in magnetic field = 200 micro T to…

Q: A rectangular coil of 80 turns has dimensions of 34 x 52 cmcm and is located in a uniform 2 TT…

A: Given: The rectangular coil has 80 turns. The dimension is 34 cm x 52 cm. The magnetic field is 2 T.…

Q: An emf is induced by rotating a 1447 turn, 20.0 cm diameter coil in the Earth's 5.53 x 10-5 T…

A: Given that, Number of turns is 14447 and Magnetic field of Earth is 5.53*10^-5T and time is 10ms.…

Q: 13. A 20-turn coil of area 0.32 m² is placed in the x-y plane. A time varying magnetic field is…

A: Given that A 20-turn coil of area 0.32 m is placed in the x-y plane. A time varying magnetic field…

Q: . The coil of wire containing 1 loop with a radius of 6 cm. is in a 1.8 T magnetic field. The plane…

Q: To monitor the breathing of a hospital patient, a thin belt is girded around the patient's chest as…

Concept explainers

Voltage Across Inductor

An actor is a passive electrical component that consists of a coil bent in the form of wire which uses electromagnetism to produce electric current through the coil. When the electric current flows through a conductor that is the coil, a magnetic flux is developed around the conductor. This flow of current through the coil creates a magnetic field based on Fleming's Right-hand thumb rule. If there is any decrease in the current passing through the inductor, then the magnetic field will also decrease and energy is released through the generation of electric current. There is also a secondary voltage inducing in the same coil due to the magnetic flux, since it opposes any changes in the electric current flowing through the circuit. An inductor is also called choke, coil, or solenoid. A choke is designed to block certain frequencies when the DC current passes. A winding coil is coated with insulation to give extra insulation and protect the circuit. They are usually tightly wrapped around a central core which is cylindrical in nature so that the magnetic flux can be induced. The solenoid is a three-dimension coil that is used to exhibit electromagnetism when the magnetic field is developed due to the current flowing through the coil. The sign convention of the inductor is the same as the power dissipating device. When the current flows into the positive side of the voltage across the inductor, the value is positive and the inductor dissipates power whereas when the inductor releases the power back to the circuit, the current has a negative sign convention. 

Question

A 140-turn circular coil has diameter 5.0 cm .

A magnetic ﬁeld perpendicular to the coil is changing at 0.85 T/s . Can you help in conceptually understanding how to figure out the induced emf in the coil?

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 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

Check Your Understanding. A current I(t)=(5.0A)sin((200rad/s)t) flows through the solenoid of part (b) of Example 14.1. What is the maximum emf induced in the surrounding coil?
Check Your understanding Suppose that the coil of Example 13.2 is a square rather than circular. Can Equation 13.12 be used to calculate (a) the induced emf and (b) the induced electric field? =EdI=dmdt13.12
A coil of 1000 turns encloses an area of 25 cm2. It is rotated in 0.010 s from a position where its plane is perpendicular to Earth’s magnetic field to one where its plane is parallel to the field. If the strength of the field is 6.0 x I0 T. what is the average emf induced in the coil?
A 120-V, series-wound dc motor draws 0.50 A from its power source when operating at full speed, and it draws 2.0 A when it starts. The resistance of the armature coils is 10 , (a) What is the resistance of the field coils? (b) What is tire back emf of the motor when it is running at full speed? (c) The motor operates at a different speed and draws 1.0 A from the source. What is the back emf in this case?
An eight-turn coil is tightly wrapped around the outside of the long solenoid as shown below. The radius of the solenoid is 2.0 cm and it has 10 turns per centimeter. The current through the soleNOID increases according to I=I0(1eat) where I0=4.0A and a=2.0102s1 . What is the emf induced in the coil when (a) t=0, (b) t=1.0102s and (c) t ?
A 5000-pF capacitor is charged to 100 V and then quickly connected to an 80-mH inductor. Determine (a) the maximum energy stored in the magnetic field of the inductor, (b) the peak value of the current, and (c) the frequency of oscillation of the circuit.
In the circuit sho in the accompanying figure, the rtd slides along the conducting rails at a constant VelOCity v. The velocity is in the same plane as the rails and directed at an angle 6 to them. A uniform magnetic field Bis directed out of the page. What is the emf induced in the r?
A small, rectangular single loop of wire with dimensions 1, and a is placed, as shown in the plan of a much larger, rectangular single loop of wire. The two short sides of the larger loop axe so far from the smaller loop that their magnetic fields over the smaller fields over the smaller loop can be ignored. What is the mutual inductance of the two loops?
Does self-inductance depend on the value of the magnetic flux? Does depend on the current through the wire? Correlate your answers with the equation N=LI
A long solenoid with n= 10 turns per centimeter has a cross-sectional area of 5.0 cm2and carries a current of 0.25 A. A coil with five turns encircles the solenoid. When the current through the solenoid is turned off, it decreases to zero in 0.050 s. What is the average emf induced in the coil?
A 10-H inductor carries a current of 20 A. How much ice at 0ºC could be melted by the energy stored in the magnetic field of the inductor? (Hint: Use the value Lf= 334 J/g for ice.)
Shown in the following figure is a long, straight wire and a single-turn rectangular loop, both of which he in the plane of the page. The wire is parallel to the long sides of the loop and is 0.50 m away from the closer side. At an instant when the emf induced in the loop is 2.0 V, what is the time rate of change of the current in the wire?