The diameter of the plate of a parallel plate condenser is 6 cm. If its capacity is equal to that of a sphere of diameter 200 cm, the separation between the plates of the condenser is

Question

The diameter of the plate of a parallel plate condenser is 6 cm. If its capacity is equal to that of a sphere of diameter 200 cm, the separation between the plates of the condenser is (A) 4.5 × 10-4 m (B) 2.25 × 10-4 m (C) 6.75 × 10-4 m (D) 9 × 10-4 m

Tardigrade Admin · Accepted Answer

As (ε0A/d)=4πε0R d=(A/4π R)=(π(6/2 )2/4π(100))=2.25×10-2 cm = 2.25 × 10-4 m

Q. The diameter of the plate of a parallel plate condenser is $6 c m$ . If its capacity is equal to that of a sphere of diameter $200 c m$ , the separation between the plates of the condenser is

$4.5 \times 1 0^{- 4} m$

$2.25 \times 1 0^{- 4} m$

$6.75 \times 1 0^{- 4} m$

$9 \times 1 0^{- 4} m$

$A s \frac{ε _{0} A}{d} = 4 π ε_{0} R$
$d = \frac{A}{4 π R} = \frac{π ( 6/2 ) ^{2}}{4 π ( 100 )} = 2.25 \times 1 0^{- 2} c m$
$= 2.25 \times 1 0^{- 4} m$

Q. The diameter of the plate of a parallel plate condenser is 6cm. If its capacity is equal to that of a sphere of diameter 200cm, the separation between the plates of the condenser is

4.5×10−4m

2.25×10−4m

6.75×10−4m

9×10−4m