Loyal Homenick IV
Feb 02, 2025
NEED HELP FAST PHYSICS?
I need help with a physics problem involving a simple series circuit that includes a 190 Ω resistor, a 21.0 V battery, a switch, and a 2.00 pF parallel-plate capacitor (initially uncharged) with the plates spaced 5.0 mm apart. The switch is closed at t = 0 s.
A) After closing the switch, what is the maximum electric flux through the capacitor?
B) After closing the switch, what is the maximum displacement current through the capacitor?
C) What is the electric flux at t = 0.50 ns?
D) What is the displacement current at t = 0.50 ns?
I have calculated part A and found the maximum electric flux to be 4.75 V·m. However, I need assistance with parts B, C, and D. Thank you!
1 Answers
Jan 12, 2025
Integral EdA = Q/εo =CVc(t)/εo = 2e-12*21/εo = 4.74 V∙m <----- A)
Vc(t) = 21(1-e^-t/RC) because an uncharged capacitor is modeled as a short.
ic(t) = (21/190)e^-t/RC -----> ic(0) = 21/190 = 0.1105A <----- B)
Q(0.5ns) = CVc(0.5ns) = 2e-1221(1-e^-t/RC) = 30.7pC
30.7pC/εo = 3.47 V∙m <----- C)
ic(0.5ns) = 29.7ma <----- D)
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