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help with these questions please. 4. A lightning bolt may carry a current of 1.0

ID: 2033269 • Letter: H

Question

help with these questions please.

4. A lightning bolt may carry a current of 1.00 x 10t A for short time. What is the rcsuling magnetic field 100 m from the bolt? Suppose that the bolt extends far abovt and below the point of observation. Two parallel wires are 10.0 cm apart, and each carries a current of 10.0 A. (a) If the currents are in the sane direction, find the force per unit length exerted on one of the wires by the other. Are the wires attracted to or repelled by each other? (b) Repeat the problem with the currents in opposite directions. 6 What current is required in the windings of a long solc- noid that has 1 000 turns uniformly distributed over a length of 0.400 m in order to produce a magnetic field of magnitude 1.00 x i0 'Tat d center of the solenoid

Explanation / Answer

4)

use, B = mue*I/(2*pi*d)

= 4*pi*10^-7*1*10^4/(2*pi*100)

= 2.00*10^-5 T

5)

a) Force per unit length, F/L - mue*I^2/(2*pi*d)

= 4*pi*10^-7*10^2/(2*pi*0.1)

= 2.00*10^-4 N/m

The wires are attracted.

b) F/L = 2.00*10^-4 N/m

The wires are repelled.


6) use, B = mue*N*I/L

I = B*L/(mue*N)

= 1*10^-4*0.4/(4*10^-7*1000)

= 0.100 A