Let a resistor having 4 ohm resistance be connected across the terminals of a 12 volt battery. Then the charge in coulomb passing through the resistor per second is :

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Q: 45 (CAPF/2016)
Let a resistor having 4 ohm resistance be connected across the terminals of a 12 volt battery. Then the charge in coulomb passing through the resistor per second is :

question_subject: 

Science

question_exam: 

CAPF

stats: 

0,32,23,10,6,32,7

keywords: 

{'coulomb': [0, 0, 0, 1], 'ohm resistance': [0, 0, 0, 2], 'resistor': [0, 0, 1, 0], 'volt battery': [0, 0, 0, 1], 'charge': [1, 0, 4, 12], 'terminals': [0, 0, 0, 1]}

Option 1: 12

This option suggests that the charge passing through the resistor per second is 12 coulombs. However, this is incorrect. The charge passing through the resistor per second depends on the current flowing through it, not the voltage of the battery.

Option 2: 4

This option suggests that the charge passing through the resistor per second is 4 coulombs. However, this is incorrect. The charge passing through the resistor per second is not equal to its resistance.

Option 3: 3

This option suggests that the charge passing through the resistor per second is 3 coulombs. This is correct. According to Ohm`s law, the current passing through a resistor is equal to the voltage across it divided by its resistance. In this case, the voltage across the resistor is 12 volts and its resistance is 4 ohms. Therefore, the current passing through the resistor is 12/4 = 3 amperes. The charge passing through the resistor per second is equal to the current (in amperes), as 1 ampere is defined as 1 coulomb per second.

Option 4: 0.33

This option suggests that the charge passing through the resistor per second is