(a) Determinethe magnetic field between two long straight wires at a point 0.500

Question

(a) Determinethe magnetic field between two long straight wires at a point 0.500 cm from the left wire when the two wires are 3.00 cm apart in terms of the current I1 = 15.0 A (left wire) when the other (right wire) carries I2 = 10.0 A. Assume these currents are in the same direction (draw a picture). What is the value obtained for magnetic field? (b) A Circular loop of diameter 3.00 cm carries a current of 2.50 A. A flat coil of radius 325 mm, having 50 turns and a current of 0.100 A is concentric with the loop. (a)What magnetic field does the loop produce at its center?

Explanation / Answer

a. magnetic field due to a st wire is given by B = u0i/2piR

here Bnet = B1+ B2

Bnet = uo/2pi)(1i/R1 + i2/R2)

Bnet = 4pi*10^-7/2pi)(15/0.005 + 10/(0.03-0.005)

Bnet = 5.2*10^-4 T

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b. Bnet at centre = B1+B2

Bnet = 4pi*10^-7 *2.5/(2*0.015) + 4pi*10^-7 *50*0.1/(2*0.325)

Bnet = 1.046 *10^-4 + 0.096 *10^-4

Bnet = 1.142 *10^-4 T

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