A battery has an emf of 15.0 V. The terminal voltage of the battery is 11.0 V when it is delivering 22.0 W of power to an external load resistor R. (a) What is the value of R? Ω (b) What is the internal resistance of the battery? Ω

A battery has an emf of 15.0 V. The terminal voltage of the battery is 11.0 V when it is delivering 22.0 W of power to an external load resistor R. (a) What is the value of R? Ω (b) What is the internal resistance of the battery? Ω

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

Chapter21: Current And Direct Current Circuits

Section: Chapter Questions

Problem 33P: A battery has an emf of 15.0 V. The terminal voltage of the battery is 11.6 V when it is delivering...

See similar textbooks

Related questions

Q: The emf and the internal resistance of a battery are as shown in the figure. When the terminal…

A: Given that:- Vab=17.4V

Q: When four identical resistors are connected to an ideal battery of voltage V=10 V as shown in the…

A: In the given circuit we have to determine the value of resistance R .

Q: A battery has ɛ= 30 V, and an internal resistance of 2.6 Q. What is the terminal voltage when it is…

A: Given : ε = 30 V r = 2.6 ohms R = 10 ohms

Q: 1)A battery with 1.50 n of internal resistance is connected to two resistors of resistances R1 =…

A: Internal resistance of the battery (r) = 1.50 ohm R1 = 30 ohm R2 = 130 ohm I1 = 0.34 A

Q: A battery has an emf of 15.0 V. The terminal voltage of the battery is 11.4 V when it is delivering…

Q: In the figure the ideal batteries have emfs 81 = 20 V and 82 = 10.0 V and the resistors have…

A: According to ohm's law V =IR I = V /R

Q: In the figure R1 = 110 Q, R2 = R3 = 75.0 Q, R4 = 110 Q, and the ideal battery has emf ɛ = 6.00 V.…

A: Given Resistance of the resistors are given as R1=110 Ω, R2=R3=75.0 Ω and R3=110 Ω emf of the…

Q: [ 4.00 M2 resistor and a 3.00 µF capacitor are connected in series with a 12.0-V power supply. What…

A: Value of the resistance, Value of the capacitance, The time constant of an RC circuit is given…

Q: In the figure battery 1 has emf 81= 14.0 V and internal resistance r = 0.040 Q and battery 2 has emf…

Q: A battery having an emf of 9.30 V delivers 118 mA when connected to a 64.0 load. Determine the…

A: Total resistance of circuit = 64 + Ri V = I. R 9.3 = 118 x10-3 x (64 + Ri) R i = 14.81 Ohm

Q: When the resistor R, shown in the circuit, is connected across the fully charged capacitor C, the…

A: Given:- The resistance R and the capacitance C of the RC circuit The capacitor lost 50 % of its…

Q: A 60-µF capacitor is charged to 250 V and is then connected across a 1500 N resistor. The amount of…

A: The initial charge on a capacitor is, Q0=CV=60 μF250 V=60×10-6 F250 V=0.015 C The resistance is,…

Q: A 200 load receives power from parallel-connected battery cells, as shown in the figure below.…

Q: A 12.0 V emf automobile battery has a terminal voltage of 16.4 V when being charged by a current of…

Q: Eight resistances [identical] are connected in series across a 220-V line a. Identify the voltage…

Q: in Figure (a), both batteries have emf ɛ = 1.30 V and the external resistance R is a variable…

A: Voltage across Battery is given as, Vb=ε-ir where ε is emf i is current r is…

Q: When a R =88.7 Q resistor is connected across a 11.1 V battery, a current of 112.8 mA flows. What is…

Q: A resistor with resistance R is connected to a battery that has emf 13.0 V and internal resistance r…

Q: resistance r2 0.013Q. The batteries are connected in series with an external resistance R. (a) What…

Q: When resistors R₁ and R2 are connected in parallel each resistor dissipate 100 W and 75 W,…

Q: When resistors R₁ and R₂ are connected in parallel each resistor dissipate 100 W and 75 W,…

Q: A 2002 load receives power from parallel-connected battery cells, as shown in the figure below.…

A: r1 = r2= 1 ohm Rload = 20 ohm V1 = V2 = 12 volts Let I1 be the current through r1 in upwards…

Q: Four resistors are connected as shown to a battery with a terminal voltage of 48 V. The resistors R2…

Q: A 3.00 M2 resistor and a 1.00 µF capacitor are connected in series with ar ideal battery of emf & =…

Q: A battery has ɛ= 30 V, and an internal resistance of 1.1 Q. What is the terminal voltage when it is…

A: internal resistance r = 1.1 ohm connected resistance R = 10 ohm e.m.f = 30 V Resistancetotal = r+ R…

Q: When resistors R, and R, are connected in parallel each resistor dissipate 100 W and 75 W,…

A: Given data : Resistance R1's power, PR1=100 watts Resistance R2's power, PR2=75 watts Voltage when…

Q: A battery has an emf ɛ = 12 V and an internal resistance r= 2.0 Q. as shown in the figure. When a…

Q: A battery has an emf of ɛ = 15.0 V. The terminal voltage of the battery is AV = 11.6 V when it is…

Q: The emf source, E, of the circuit shown in the figure has negligible internal resistance. The…

Q: The emf and the internal resistance of a battery are as shown. In the figure, a current of 4.7 A is…

A: (given) Current = 4.7 A Resistance of resistor = 4Ω According to ohm's law: V = IR =(4.7 A)(4 Ω)…

Q: To maximize the percentage of the power from the emf of a battery that is delivered to a device…

Q: A 1234. pF capacitor and a 5.6 × 106 ohm resistor are connected in series to 78. volts EMF.…

Q: While a 6-µF capacitor is charged through a resistor, the current drops to half of its maximum…

Q: Cakulate the total resistance of the resistors in the diagram, given: R1=10002 R2=10002 R3=1002…

Q: In the figure R1 = 130 N, R2 = R3 = 48.0 0, R4 = 102 0, and the ideal battery has emf e = 6.00…

A: R1=130 ohm R2=R3=48 ohm R4= 102 ohm E= 6volts

Q: in the circuit emf's and resistances of the resistors are given es E1=12V, E2=36V and…

Q: Given two batteries: one with voltage V and internal resistance r₁; another with also voltage V and…

A: Given that: Terminal voltages of both=V Internal resistances r1, r2

Q: heart defibrillator being used on a patient has an RC time constant of 11 ms due to the resistance…

A: time constant = τ= 11ms capacitance = C = 8.5 X 10-6 F initial voltage = V = 14 kV

Q: In the figure the current in resistance 6 is ig = 1.39 A and the resistances are R1 = R2 R3= 1.760,…

A: Given current in resistance 6 is i6= 1.39 A And R1=R2=R3=1.76Ω, R4=16.4Ω, R5=8.35Ω, R6=4.01Ω It is…

Q: In the figure the ideal batteries have emfs 1 = 13.1 V and 2 = 4.17 V, and the resistances are each…

A: Given, ε1=13.1 Vε2=4.17 VR=4.02 Ω

Q: A battery has ɛ= 30 V, and an internal resistance of 2.4 N. What is the terminal voltage when it is…

Q: an RC circuit, how many time constant must elapsed if an initial uncharged capacitor is reach 80% of…

Q: In the following figure(Figure 1), the battery has negligible internal resistance and E EMF= 45.0 V.…

Q: The emf and the internal resistance of a battery are as shown in the figure. When the terminal…

Q: The figure shows a circuit consisting of a battery and four resistors, with resistances and the…

Q: 4) A battery with unknown emf (e) and internal resistance (r) is connected to a circuit that…

A: SOlution: given that R1 = 1 Ohm R2 = 10 Ohm Va = 7 V Vb = 10 V

Question

A battery has an emf of 15.0 V. The terminal voltage of the battery is 11.0 V when it is delivering 22.0 W of power to an external load resistor R.
(a) What is the value of R?
Ω
(b) What is the internal resistance of the battery?
Ω

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 5 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 battery has an emf of 15.0 V. The terminal voltage of the battery is 11.6 V when it is delivering 20.0 W of power to an external load resistor R. (a) What is the value of R? (b) What is the internal resistance of the battery?
(a) What is the internal resistance of a voltage source if its terminal potential drops by 2.00 V when the current supplied increases by 5.00 A? (b) Can the emf of the voltage source be found with the information supplied?
A 12.0-V emf automobile battery has a terminal voltage of 16.0 V when being charged by a current of 10.0 A. (a) What is the battery’s internal resistance? (b) What power is dissipated inside the battery? (c) At what rate (in °C/min ) will its temperature increase if its mass is 20.0 kg and it has a specific heat of 0.300 kcal/kg • °C, assuming no heat escapes?
An automobile starter motor has an equivalent resistance of 0.0500 and is supplied by a 12.0-V battery with a 0.0100- internal resistance, (a) What is thecurrent to the motor? (b) What voltage is applied to it? (c) What power is supplied to the motor? (d) Repeat these calculations for when the battery connections are corroded and add 0.0900 to the circuit. (Significant problems are caused by even small amounts of unwanted resistance in low-voltage, high-current applications.)
(a) What is the internal resistance of a voltage source if its terminal voltage drops by 2.00 V when the current supplied increases by 5.00 A? (b) Can the emf of the voltage source be found with the information supplied?
A child's electronic toy is supplied by three 1.58-V alkaline cells having internal resistances of 0.0200 inseries with a 1.53-V carbon-zinc dry cell having a 0.100- internal resistance. The load resistance is 10.0 . (a) Draw a circuit diagram of the toy and itsbatteries, (b) What current flows? (c) How much power is supplied to the load? (d) What is the internal resistance of the dry cell if it goes bad, resulting in only 0.500 W being supplied to the load?
Calculate the equivalent resistance between points P and Q of the electrical network shown in Figure P29.80.
Electric current I enters a node with three resistors connected in parallel (Fig. CQ18.5). Which one of the following is correct? (a) I1 = I and I2 = I3 = 0. (b) I2 I1 and I2 I3. (c) V1 V2 V3 (d) I1 I2 I3 0. Figure CQ18.5
Electric current I enters a node with three resistors connected in parallel (Fig. CQ18.5). Which one of the following is correct? (a) I1 = I and I2 = I3 = 0. (b) I2 I1 and I2 I3. (c) V1 V2 V3 (d) I1 I2 I3 0. Figure CQ18.5
A battery is used to charge a capacitor through a resistor as shown in Figure P27.44. Show that half the energy supplied by the battery appears as internal energy in the resistor and half is stored in the capacitor. Figure P27.44
The values of the components in a simple series RC circuit containing a switch (Fig. P21.53) are C = 1.00 F, R = 2.00 106 , and = 10.0 V. At the instant 10.0 s after the switch is closed, calculate (a) the charge on the capacitor, (b) the current in the resistor, (c) the rate at which energy is being stored in the capacitor, and (d) the rate at which energy is being delivered by the battery.
When resistors with different resistances are connected in parallel, which of the following must be the same for each resistor? Choose all correct answers, (a) potential difference (b) current (c) power delivered (d) charge entering each resistor in a given time interval (e) none of those answers