5, A 6-A current flows into a parallel combination of 12 ?, 6 ?, and 4 ? resisto

Question

5, A 6-A current flows into a parallel combination of 12 ?, 6 ?, and 4 ? resistors. What is the voltage across these resistors? (Draw the circuit) 6. The force on a 0.5-m-long straight wire with a current is 1.5 N when it is placed in a 0.15-T magnetic field which makes a 40° angle with the wire. What is the current in this wire? 7. A particle with the mass of 0.2 mg carrying a 3.5 JuC charge travels at a velocity of 1.5 m/s perpendicular to a 1.6 T magnetic field. What is the radius of the particle's orbit? 8. Two 2-m-long parallel wires carry currents of 20 A and 5.0 A. The wires are separated by 2.0 crn. What isthe magnitude of the magnetic force acting of each wire? 9. What current must flow in a 0.2-m-long solenoid with a total of 1500 turns to produce a 0.025 T magnetic field at the center of the solenoid?

Explanation / Answer

5. Parallel elements have same voltage across them.

1/Req = 1/12 + 1/6 + 1/4

Req = 2 ohm

V = Req I = 12 Volt

6. Fb = I L B sin(theta)

1.5 = (I) (0.5) (0.15) sin40

I = 31.1 A  

7. Fb = m a_c

q v B = m v^2 / r

r = mv /q B = (0.2 x 10^-6)(1.5) /(3.5 x 10^-6 x 1.6)

r = 0.054 m

8. F = u0 I1 I2 L / (2 pi r)

F = (4pi x 10^-7)(20)(5)(2) / (2 pi 0.02)

F = 2 x 10^-3 N  

9. B = u0 n I

0.025 = (4pi x 10^-7) (1500/0.2) (I)

I = 2.65 A

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