Question 339: Electrostatics & Capacitance

Question

If the electric potential at any point (x, y, z) m in space is given by V = 3x
2
volt. The electric field at the point (1, 0, 3) m will be :

Accepted Answer

$$\overrightarrow E  = -{{dV} \over {dx}}\widehat i$$
$$\overrightarrow E  =  - 6x\widehat i$$
So, $$\overrightarrow E $$ at (1, 0, 3) is
$$\overrightarrow E  =  - 6\widehat i$$ V/m

Answer

3 Vm
$$-$$1
, directed along positive x-axis.

Answer

3 Vm
$$-$$1
, directed along negative x-axis.

Answer

6 Vm
$$-$$1
, directed along positive x-axis.

Answer

6 Vm
$$-$$1
, directed along negative x-axis.

Electrostatics & Capacitance

If the electric potential at any point (x, y, z) m in space is given by V = 3x 2 volt. The electric field at the point (1, 0, 3) m will be :

Choose the correct answer: