1. A capacitor is formed by two metal parallel plates with the dimensions 210 mm
ID: 2987935 • Letter: 1
Question
1. A capacitor is formed by two metal parallel plates with the dimensions 210 mm x 210 mm separated by the gap of 1 um (u=micro) filled with dielectric material with relative dielectric permittivity 4.8. What is the capacitance of this capacitor? (unit: F)
2. A capacitor is formed by two metal parallel plates with the area 3.7 um^2. The distance between plates is 6.6 um. The gap between plates is filled with the dielectric material with dielectric constant 11. What is the capacitance of this capacitor? (UNIT:pF)
3. A 1.6 uF capacitor is connected to a voltage source. The voltage of the source is changing according to time as 6.7 * t V. What is the current through this capacitor? (UNIT:uA)
Explanation / Answer
1. C = A eo * er / d
= 210 * 210 * 10^-6 * 8.85 * 10^-12 * 4.8 / (10^-6)
= 1.87 * 10^-6 F
2. C = A eo * er / d
= 3.7 * 10^-12 * 8.85 * 10^-12 * 11 / (6.6 *10^-6)
= 0.00005457 pF
3. Q = CV
i = dQ/dt = CdV/dt = 1.6 * 6.7 = 10.72 uA
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