Question

Two flat 4.0 cm × 4.0 cm electrodes carrying equal but opposite charges are spaced 2.0 mm apart with their midpoints opposite each other. Between the electrodes but not near their edges, the electric field strength is 7.6 × 106 N/C. What is the magnitude of the charge on each electrode? (ε 0 = 8.85 × 10-12 C2/N · m2)

Answer 1

Answer:

$q =1.07 \times 10^{-7}\ C$

Explanation:

given.

Two flat 4.0 cm × 4.0 cm electrodes carrying equal charge

space between the charges = 2 mm

Electric field strength = 7.6 x 10⁶ N/C

ε ₀ = 8.85 × 10⁻¹² C²/N · m²

magnitude of charge =?

Electric field strength between to two plates

$E = \dfrac{q}{A\epsilon_0}$

$q = E A \epsilon_0$

$q = 7.6 \times 10^6 \times 0.04 \times 0.04 \times 8.85 \times 10^{-12}$

$q =1.07 \times 10^{-7}\ C$