1. How much current must pass through a long wire to generate a 0.001-T magnetic

Question

1. How much current must pass through a long wire to generate a 0.001-T magnetic field at 2 mm from the wire?

2. Two long parallel wires carry currents of 5.0 A and 8.0 A in the opposite direction. The wires are separated by 0.30 m. Find the magnetic force per unit length (magnitude and direction) between the two wires.

3. A proton is accelerated from rest through 500 V. It enters a magnetic field of 0.30 T oriented perpendicular to its direction of motion. Determine the radius of the path it follows.

Explanation / Answer

1.)

here by using the formula

B = u0 * I / (2 * pie * r)

0.001 = 4 * 3.14 * 10^-7 * I / ( 2 * 3.14 * 0.002)

I = 10 amp

the current through the wire is 10 amp

2)

here by using the formula

F = u0 * I1 * I2 * L / (2 *pie * r)

F = (4 * pie * 10^-7 * 5 * 8 * 1 ) / ( 2 * pie * 0.3)

F = 2.67 * 10^-5 N

the force is repulsive

3)

here by using the formula

r = ( 1 / B ) sqrt( 2 * m * V / q)

r = ( 1 / 0.3) * sqrt(( 2 * 1.67 * 10^-27 * 500 )/ 1.602 * 10^-19)

r = 0.01 m

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