The radii of two spheres forming a spherical condenser are 0.5 and 0.6 m. If a medium having dielectric constant 6 is completely filled in between, the capacity of the condenser will be

Question

The radii of two spheres forming a spherical condenser are 0.5 and 0.6 m. If a medium having dielectric constant 6 is completely filled in between, the capacity of the condenser will be (A) 3.3 × 10-10 F (B) 2 × 10-9 F (C)  2 F (D) 18 F

Tardigrade Admin · Accepted Answer

Capacity of spherical condenser is C=4 π ε0 (K a b/b-a) =(6 × 0.5 × 0.6/9 × 109(0.6-0.5)) =(1.8/0.9 × 109)=2 × 10-9 F

Q. The radii of two spheres forming a spherical condenser are $0.5$ and $0.6 m$ . If a medium having dielectric constant $6$ is completely filled in between, the capacity of the condenser will be

$3.3 \times 1 0^{- 10} F$

$2 \times 1 0^{- 9} F$

$2 F$

$18 F$

Capacity of spherical condenser is
$C = 4 π ε_{0} \frac{K ab}{b - a}$
$= \frac{6 \times 0.5 \times 0.6}{9 \times 1 0 ^{9} ( 0.6 - 0.5 )}$
$= \frac{1.8}{0.9 \times 1 0 ^{9}} = 2 \times 1 0^{- 9} F$

Q. The radii of two spheres forming a spherical condenser are 0.5 and 0.6m. If a medium having dielectric constant 6 is completely filled in between, the capacity of the condenser will be

3.3×10−10F

2×10−9F

2F

18F