High School

If a current of 0.5 A is passing through a 6 W resistor by an ideal battery, what is the emf (in V) of the ideal battery?

A. 3.67 V
B. 2.75 V
C. 4.5 V
D. 6.5 V

Answer :

Given, Current, I = 0.5 A Resistance, R = 6 WUsing Ohm's law we know that V = IRSo, V = 0.5 × 6 = 3 VThus, the main answer is: The emf of the ideal battery is 3V.

As we know that Ohm's law is the mathematical expression of the relationship between voltage, current and resistance in a circuit. It says that the current through a conductor between two points is directly proportional to the voltage across the two points.Here, we are given the current passing through a resistor and the resistance of that resistor.

We can use Ohm's law to calculate the voltage drop across that resistor. Therefore, V = IR. Substituting the given values, we get V = 0.5 × 6 = 3 V.So, the emf of the ideal battery is 3V.

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