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Chapter 18: Problem 11

The starter motor in a car draws \(220.0 \mathrm{A}\) of current from the \(12.0-\mathrm{V}\) battery for \(1.20 \mathrm{s}\). (a) How much charge is pumped by the battery? (b) How much electric energy is supplied by the battery?

Short Answer

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Question: Calculate the charge pumped by a car battery and the electric energy supplied when the current is 220.0 A, the voltage is 12.0 V, and the time is 1.20 s. Answer: The charge pumped by the car battery is 264 Coulombs, and the electric energy supplied is 3168 Joules.

Step by step solution

01

Identify the given values

We are given the following values: - Current (I) = 220.0 A - Voltage (V) = 12.0 V - Time (t) = 1.20 s
02

Calculate the charge pumped by the battery (Q)

We will use the formula Q = I * t. Here, Q is the charge, I is the current, and t is the time. Plugging in the given values, we get: Q = (220.0 A) * (1.20 s) = 264 Coulombs Hence, the charge pumped by the battery is 264 Coulombs.
03

Calculate the electric energy supplied by the battery (E)

To calculate the electric energy supplied, we will use the formula E = V * Q. Here, E is the energy, V is the voltage, and Q is the charge. Plugging in the values given and calculated, we get: E = (12.0 V) * (264 C) = 3168 Joules Hence, the electric energy supplied by the battery is 3168 Joules.

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Most popular questions from this chapter

An ammeter with a full scale deflection for \(I=10.0 \mathrm{A}\) has an internal resistance of \(24 \Omega .\) We need to use this ammeter to measure currents up to 12.0 A. The lab instructor advises that we get a resistor and use it to protect the ammeter. (a) What size resistor do we need and how should it be connected to the ammeter, in series or in parallel? (b) How do we interpret the ammeter readings?
A charging \(R C\) circuit controls the intermittent windshield wipers in a car. The emf is \(12.0 \mathrm{V}\). The wipers are triggered when the voltage across the 125 - \(\mu\) F capacitor reaches \(10.0 \mathrm{V} ;\) then the capacitor is quickly discharged (through a much smaller resistor) and the cycle repeats. What resistance should be used in the charging circuit if the wipers are to operate once every \(1.80 \mathrm{s} ?\)
A potential difference is applied between the electrodes in a gas discharge tube. In 1.0 s, \(3.8 \times 10^{16}\) electrons and \(1.2 \times 10^{16}\) singly charged positive ions move in opposite directions through a surface perpendicular to the length of the tube. What is the current in the tube?
A string of 25 decorative lights has bulbs rated at \(9.0 \mathrm{W}\) and the bulbs are connected in parallel. The string is connected to a \(120-\mathrm{V}\) power supply. (a) What is the resistance of each of these lights? (b) What is the current through each bulb? (c) What is the total current coming from the power supply? (d) The string of bulbs has a fuse that will blow if the current is greater than 2.0 A. How many of the bulbs can you replace with 10.4-W bulbs without blowing the fuse?
A copper wire and an aluminum wire of the same length have the same resistance. What is the ratio of the diameter of the copper wire to that of the aluminum wire?
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