Question

# The electric potential at x = 3.0 m is 120 V, and the electric potential at x = 5.0 m is 190 V. What is the electric field in this region, assuming it's constant?

Solution

Verified

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

Where V is the potential. Field is in the direction of decreasing potential. When E is constant $E=-\frac{\Delta V}{\Delta x}$ From the given data

$\Delta V =70 Volts$

$\Delta x=2 m$

E=-35V/m (negative sign implies field is in the negative x direction)

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