Question

A cube of side 20 cm is kept in a region as shown in the figure. Ai
exists in the region such that the potential at
point is given by V = 10x + 5, v is in volt and x in m.find electric field and electric flux through cube​

Answer 1

Given that,

Side of cube = 20 cm

Potential $V =10x+5$

We need to calculate the value of $\dfrac{dV}{dx}$

Using potential

$V=10x+5$

On differentiating w. r. to x

$\dfrac{dV}{dx}=10+0$

We need to calculate the electric field

Using formula of electric field

$E=-\dfrac{dV}{dx}$

$E=-10i\ N/C$

The electric field is constant in negative x-direction

The flux enter in the cube will be same as flux come out through the cube.

So, The net flux will be zero.

Hence, The electric field is -10i N/C.

The net flux will be zero

Answer 2

Given that,

Side of cube = 20 cm

Potential $V =10x+5$

We need to calculate the value of $\dfrac{dV}{dx}$

Using potential

$V=10x+5$

On differentiating w. r. to x

$\dfrac{dV}{dx}=10+0$

We need to calculate the electric field

Using formula of electric field

$E=-\dfrac{dV}{dx}$

$E=-10i\ N/C$

The electric field is constant in negative x-direction

The flux enter in the cube will be same as flux come out through the cube.

So, The net flux will be zero.

Hence, The electric field is -10i N/C.

The net flux will be zero

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