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Introductory Physics Volume Two

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3.10 Homework 75<br />

⊲ Problem 3.16<br />

Batteries are rated in ampere hours (A · hr), where a battery rated at<br />

1.0A · hr can produce a current of 1.0A for 1.0hr.<br />

(a) What is the total energy stored in a 12.0V battery rated at 55.0A·hr<br />

?<br />

(b) At $0.12 per kilowatt hour, what is the value of the electrical energy<br />

stored in this battery?<br />

⊲ Problem 3.17<br />

What is the required resistance of an immersion heater that will increase<br />

the temperature of a 1.5 kg of water from 10 ◦ C to 50 ◦ C in 10<br />

min while operating at 110V?<br />

⊲ Problem 3.18<br />

A battery with an emf of 12V and internal resistance of 0.90Ω is connected<br />

to a load resistor R.<br />

(a) If the current in the circuit is 1.4A, what is the value of R?<br />

(b) What power is dissipated in the internal resistance of the battery?<br />

⊲ Problem 3.19<br />

(a) Find the equivalent resistance between points a and b in the figure<br />

below.<br />

(b) If a potential difference of 34V is applied between points a and b,<br />

calculate the current in each resistor.<br />

7 Ω<br />

a<br />

4 Ω<br />

9 Ω<br />

b<br />

10 Ω<br />

⊲ Problem 3.20<br />

For the figure below find the current in the 20Ω resistor and the potential<br />

difference between points a and b.<br />

25 V<br />

10 Ω - +<br />

a 10 Ω b<br />

5.0 Ω 20 Ω<br />

5.0 Ω<br />

⊲ Problem 3.21<br />

Determine the equivalent capacitance for the capacitor network shown<br />

below. If the network is connected to a 12V battery, calculate the<br />

potential difference across each capacitor and the charge on each capacitor.

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