Two infinitely long parallel plates of equal areas, 6 cm2, are separated by a distance of 1 cm. While one of the plates has a charge of + 10 nC and the other has -10 nC. The magnitude of the electric field between the plates, if ε0 = (10-9/36 π ) F/ m is

Question

Two infinitely long parallel plates of equal areas, 6 cm2, are separated by a distance of 1 cm. While one of the plates has a charge of + 10 nC and the other has -10 nC. The magnitude of the electric field between the plates, if ε0 = (10-9/36 π ) F/ m is (A) 0.6 π kV/m (B) 6 π kV/m (C) 600 π kV/m (D) 60 π V/m

Tardigrade Admin · Accepted Answer

We know that, E =( V / d ) =(( q / C )/ d ) E =( q /ε0 A ) =(10-8 × 36 π/10-9 × 6 × 10-4) V / m =6 π × 103 =6 π kV / m.

Q. Two infinitely long parallel plates of equal areas, $6 c m^{2}$ , are separated by a distance of $1 c m$ . While one of the plates has a charge of $+ 10 n C$ and the other has $- 10 n C$ . The magnitude of the electric field between the plates, if $ε_{0} = \frac{1 0 ^{- 9}}{36 π} F / m$ is

$0.6 π kV / m$

$6 π kV / m$

$600 π kV / m$

$60 π V / m$

$6 π V / m$

We know that,
$E = \frac{V}{d}$
$= \frac{\frac{q}{C}}{d}$
$E = \frac{q}{ε _{0} A}$
$= \frac{1 0 ^{- 8} \times 36 π}{1 0 ^{- 9} \times 6 \times 1 0 ^{- 4}} V / m$
$= 6 π \times 1 0^{3}$
$= 6 πkV / m$ .

Q. Two infinitely long parallel plates of equal areas, 6cm2, are separated by a distance of 1cm. While one of the plates has a charge of +10nC and the other has −10nC. The magnitude of the electric field between the plates, if ε0​=36π10−9​F/m is

0.6πkV/m

6πkV/m

600πkV/m

60πV/m

6πV/m

We know that, E=dV​ =dCq​​ E=ε0​Aq​ =10−9×6×10−410−8×36π​V/m =6π×103 =6πkV/m.