Question

17. The electric field in a region shown here is given by 2
E = Eyx3/24 volt/m. Then the total electric flux through the
cube of side a is -
+E
Ia​

Answer 1

Explanation:

Dear Student,

E=Kr⃗ −r⃗ 0∣∣r⃗ −r⃗ 0∣∣2So if we have R⃗ =r⃗ −r⃗ 0so we haveR=∣∣r⃗ −r⃗ 0∣∣and Rˆ=R⃗ RThen E=KRRˆ in direction of a unit vector along RIf we have a imaginaery sphere with radius=Rarea element dA⃗ =R2sinθdφdθRˆThen the area of this sphere=∮Rsinθdφdθ⇒∫π0∫2π0Rsinθdφdθ=4π R⃗ Electric Flux= E⃗ .A⃗ Flux=KR×4πR=4πK