A spherical conductor of radius 10cm has a charge of 3.2 × 10-7 C distributed uniformly. What is the magnitude of electric field at a point 15 cm from the centre of the sphere ? ( (1/4π ϵo) = 9 × 109 Nm2/C2)

Question

A spherical conductor of radius 10cm has a charge of 3.2 × 10-7 C distributed uniformly. What is the magnitude of electric field at a point 15 cm from the centre of the sphere ? ( (1/4π ϵo) = 9 × 109 Nm2/C2) (A) 1.28 × 104 N/C (B) 1.28 × 105 N/C (C) 1.28 × 106 N/C (D) 1.28 × 107 N/C

Tardigrade Admin · Accepted Answer

Electric field outside a conducting sphere E=(1/4πε0) (Q/r2) =(9×109×3.2×10-7/225×10-4) =0.128×106 =1.28×105 N /C

Q. A spherical conductor of radius 10cm has a charge of $3.2 \times 1 0^{- 7} C$ distributed uniformly. What is the magnitude of electric field at a point $15 c m$ from the centre of the sphere ?
$(\frac{1}{4 π ϵ _{o}} = 9 \times 1 0^{9} N m^{2} / C^{2})$

$1.28 \times 1 0^{4} N / C$

$1.28 \times 1 0^{5} N / C$

$1.28 \times 1 0^{6} N / C$

$1.28 \times 1 0^{7} N / C$

Electric field outside a conducting sphere
$E = \frac{1}{4 π ε _{0}} \frac{Q}{r ^{2}}$
$= \frac{9 \times 1 0 ^{9} \times 3.2 \times 1 0 ^{- 7}}{225 \times 1 0 ^{- 4}}$
$= 0.128 \times 1 0^{6}$
$= 1.28 \times 1 0^{5} N / C$

Q. A spherical conductor of radius 10cm has a charge of 3.2×10−7C distributed uniformly. What is the magnitude of electric field at a point 15cm from the centre of the sphere ? (4πϵo​1​=9×109Nm2/C2)

1.28×104N/C

1.28×105N/C

1.28×106N/C

1.28×107N/C