According to Ohm's Law, the current (I) flowing through a resistor is directly proportional to the voltage (V) across it and inversely proportional to its resistance (R). The relationship is given by the formula V = IR. The current (I) is also defined as the amount of electric charge (Q) passing through a point per unit time (t), i.e., I = Q/t. The question asks for the charge passing through the resistor per second, which means we need to find Q when t = 1 second. From I = Q/t, we get Q = I t. If t = 1 second, then Q = I 1 = I. Therefore, the charge passing through the resistor per second is equal to the current flowing through it.
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:
Asked in UPSC CAPF 2016 · Topic: Electric Current (Ohm's Law, resistance, resistivity, and conductivity)
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