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Chapter 18: Problem 69

A battery has a \(6.00-\mathrm{V}\) emf and an internal resistance of $0.600 \Omega$. (a) What is the voltage across its terminals when the current drawn from the battery is \(1.20 \mathrm{A} ?\) (b) What is the power supplied by the battery?

Short Answer

Expert verified
Answer: The terminal voltage is 5.28 V, and the power supplied by the battery is 6.336 W.

Step by step solution

01

Identify the given parameters

The given parameters are: - emf (E) = 6.00 V - Internal resistance (r) = 0.600 Ω - Current (I) = 1.20 A
02

Find the terminal voltage V

We can find the terminal voltage (V) by using the relationship between emf, internal resistance, and the current drawn from the battery: V = E - Ir where E = emf I = current r = internal resistance Now, we can plug in the given values: V = 6.00 V - (1.20 A)(0.600 Ω) = 6.00 V - 0.720 V = 5.28 V Thus, the terminal voltage when the current is drawn is 5.28 V.
03

Calculate the power supplied by the battery

Now, we can calculate the power supplied by the battery using the formula: Power (P) = VI where V = terminal voltage I = current Plugging in the values: P = (5.28 V)(1.20 A) = 6.336 W Therefore, the power supplied by the battery is 6.336 W.

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Most popular questions from this chapter

Chelsea inadvertently bumps into a set of batteries with an emf of $100.0 \mathrm{V}\( that can supply a maximum power of \)5.0 \mathrm{W} .$ If the resistance between the points where she contacts the batteries is $1.0 \mathrm{k} \Omega,$ how much current passes through her?
The label on a \(12.0-\mathrm{V}\) truck battery states that it is rated at 180.0 A-h (ampere-hours). Treat the battery as ideal. (a) How much charge in coulombs can be pumped by the battery? [Hint: Convert A to A-s.] (b) How much electric energy can the battery supply? (c) Suppose the radio in the truck is left on when the engine is not running. The radio draws a current of 3.30 A. How long does it take to drain the battery if it starts out fully charged?
A Vespa scooter and a Toyota automobile might both use a \(12-\mathrm{V}\) battery, but the two batteries are of different sizes and can pump different amounts of charge. Suppose the scooter battery can pump 4.0 kC of charge and the automobile battery can pump \(30.0 \mathrm{kC}\) of charge. How much energy can each battery deliver, assuming the batteries are ideal?
A gold wire of 0.50 mm diameter has \(5.90 \times 10^{28} \mathrm{con}\) duction electrons/m". If the drift speed is \(6.5 \mu \mathrm{m} / \mathrm{s}\), what is the current in the wire?
The current in a wire is \(0.500 \mathrm{A} .\) (a) How much charge flows through a cross section of the wire in 10.0 s? (b) How many electrons move through the same cross section in $10.0 \mathrm{s} ?$
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