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Need Capacitor help please?
Two circular disks spaced 6.42 mm apart from a parallel-plate capacitor. Transferring 2.25 *109 electrons from one disk to the other causes the electric field strength to be 2.42 *105 N/C. What are the diameters (in m) of the disks?
3 Answers
- billrussell42Lv 71 decade agoFavorite Answer
I think you left off some exponents. it's 10^9 (I think) not 109, 10^5, not 105. Given that uncertainty, I'll not do any actual calculations but give you all the formula.
Those numbers are very different.
Given that, use the N/C number, which is also volta/meter, with the spacing of 6 mm to get the voltage on the plates. You have the charge, 2.25x109 or whatever it is, and the voltage. Use Q = CV or C = Q/V to calculate the capacitance.
Then use
Parallel plate cap
C = ε₀εᵣ(A/d) in Farads
ε₀ is 8.854e-12 F/m
εᵣ is dielectric constant (vacuum = 1)
A and d are area of plate in m² and separation in m
You have C, and d, so you can calculate A
And from that and A = πr² you can get the radius and then the diameter.
.
- ?Lv 44 years ago
certainly a capacitor holds a cost. So while the fan is grew to become on the capacitor says cost the electrons. that is how the motor knows while to tutor on. the human beings here have studied extra electronics then I, and can have a miles better answer.
- FiremanLv 71 decade ago
By V = Qd/ɛA
=>V/d = Q/ɛA
=>E = Q/ɛA
=>A = Q/ɛE
=>A = ne/ɛE
=>A = [2.25 x 10^9 x 1.6 x 10^-19]/[8.85 x 10^-12 x 2.42 x 10^5]
=>A = 1.68 x 10^-4 m^2
=>1/4 x π x d^2 = 1.68 x 10^-4
=>d = √[2.14 x 10^-4]
=>d = 0.0146 m
=>d = 1.46 cm