Aparallel plate capacitor carries a charge of +20 mC on one plateand -20 mC on t

Question

1. Aparallel plate capacitor carries a charge of +20 mC on one plateand -20 mC on the other plate when a potential difference of 4 .0 Vis placed across it. What is the capacitance?

2. A neuronhas an axon membrane that is positive on the outside and negativeon the inside. The dielectric constant for the membrane isabout 7. The membrane wall is 6.0 nm thick. The axon isa cylinder that has a radius of 5 mm. Estimate itscapacitance per unit area.

3. Twocapacitors, the first of 20 mF and the second of 30 mF areconnected to a 12 V potential difference. How much charge ison each?

4. The sametwo capacitors as above are connected in series to a 12 Vsource. How much charge is on each?

Explanation / Answer

Charge Q = 20 m C = 0.02 C potential difference V = 4 .0 V Capacitance C = Q / V (b). The dielectric constant for the membrane k =7 Thickness d = 6 nm = 6 * 10 -9 m radius R = 5 mm              = 5 * 10 -3 m capacitance per unit area = k / d where = permitivity of free space = 8.85 * 10-12 C 2 / N m 2 substitue values weegt answers substitue values weegt answers

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