A DC voltage is hooked up to two very large parallel plates. The battery holds t

Question

A DC voltage is hooked up to two very large parallel plates. The battery holds the plates at a constant potential difference B. The permitivity of the space between the plates is e0. How does each of the quantities change as the plates are moved closer? Explain with equations.

a) The potential difference between the plates

b) The capacitance of the pair of plates

d) Rank the absolute value of the electric potential differences between the labeled points delta Vab, delta Vbv, delta Vcd, Delta Vda

Explanation / Answer

Part A)

Since the battery holds the plates at a constant Potential Difference, the potential difference does not change as the plates are moves closer. (No equation needed for this part)

Part B)

Applying C = eA/d, as you reduce the value of d, the value of C increases since C and d are inversely proportional as seen in the formula.

Part C)

No potential difference between a and b

No potential difference between b and c

The potentail difference between c and d equals the potentail difference between d and a, so...

Tie for Lowest Vab and Vbc

Tie for highest Vcd and Vda

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