The FYS1120 Weekly Assignment Post #1

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There is no solution manual to the FYS1120 (electromagnetism) weekly assignments, so we tought it was a good idea to start posting suggestions to answers here with the aim that other students at fys1120 can crosscheck their answers somewhere  and eventually if they don’t agree or just want to know how the answers was obtained start a discussion about them in the comments.

We’ll try to start a system so that if others want to submit suggestions before we’ve manged to post them, they can.

For writing latex in the comments just start with $l-atex and end with $ or alternativly start with [l-atex] and end with [/l-atex] (without the ‘-‘ symbol). For instance x^2 shows up as x^2.

Assignment #5:

1)

a)\epsilon = 2.3 \times 10^{-11} F/m

b)V = E_{max} d = 400kV

c)\sigma = \frac{\epsilon V_{max}}{d} = 4.6 \times 10^{-4} C/m^2

d)\sigma_{ind} = \hat{n}\cdot \vec{P} = \epsilon_0 X_e E = \epsilon_0 (\kappa -1) E = 0.028 C/m^2

2)

a)U = \frac{1}{2} \frac{Q^2}{C}

b) dU = \frac{1}{2} \epsilon_0 E^2 A dx

c) |F| = \frac{dU}{dx} = \frac{1}{2}\epsilon_0 E^2 A

d)  A plate can not exert a force on itself. The total field between the plates is due to both plates.

3)

a) J = \frac{I}{A} = 6.8\times 10^6 A/m^2

b) E = J\rho = 0.115 V/m

c) \Delta t = \frac{L}{v_d} = 8\times 10^5 s = 0.92 days

4)

a) R_{tot} \approx = R_2 = 4\times 10^{-5} \Omega

b) I_{H2O}= 0.002 A, \ \ I_{Cu} = 599.99 A

c) V = IR_{tot} = 0.024 V

Suggestions by: Mikael B Steen

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