STATEMENT-1 : For practical purposes, the earth is used as a reference at zero potential in electrical circuits. STATEMENT-2 : The electrical potential of a sphere of radius R with charge Q uniformly distributed on the surface is given by

Question

STATEMENT-1 : For practical purposes, the earth is used as a reference at zero potential in electrical circuits.

STATEMENT-2 : The electrical potential of a sphere of radius R with charge Q uniformly distributed on the surface is given by $\frac{Q}{4 π ε_{0} R} .$ [2008]

Smart Achievers · Accepted Answer

(2)

The earth is used as a reference at zero potential in electrical circuits for practical purposes.

For a spherical capacitor, capacitance $\frac{Q}{4 π ε_{0} R} .$ and electric potential $V = \frac{Q}{C} = \frac{Q}{4 π ε_{0} R} .$

Solution

Q.
STATEMENT-1 : For practical purposes, the earth is used as a reference at zero potential in electrical circuits.

STATEMENT-2 : The electrical potential of a sphere of radius R with charge Q uniformly distributed on the surface is given by $\frac{Q}{4 π ε_{0} R} .$ [2008]

1 Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1

2 Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1

3 Statement-1 is True, Statement-2 is False

4 Statement-1 is False, Statement-2 is True

Ans.
(2)

The earth is used as a reference at zero potential in electrical circuits for practical purposes.

For a spherical capacitor, capacitance $C = 4 π ε_{0} R$ and electric potential $V = \frac{Q}{C} = \frac{Q}{4 π ε_{0} R} .$

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