I need help with number 17, 18, and 19 please 17. (balance forces in selector) A

Question

I need help with number 17, 18, and 19 please

17. (balance forces in selector) An electron moves through a region of crossed electric and magnetic fields. The electric field E 6000 M/m and is directed straight down. The magnetic field B-15 T and is directed to the left. For what velocity v of the electron into the paper will the electric force exactly cancel the magnetic force? 18. A 5.0 A current runs along the x-axis. What is the magnitude and direction of the magnetic field at the point (x, 3,4) cm? 19. A long solenoid (diameter-5.0 cm) is wound with 400 turns per meter of thin wire through nt of 400 mA is maintained. A wire carrying 10 A is inserted along the axis of the solenoid. What is the magnitude of the magnetic field at a point 2.0 cm from the axis? Show your calculation. (a) B, inside solenoid? (b) B (8 of wire) at d-2 cm from the axis? (c) Direction of magnetic field of wire (RHR)? (Bw or (Bw 11 B.) (d) The magnitude of the B at d-2 cm from the axis?

Explanation / Answer

17)

Given:

E = 6000 V/m

B = 1.5 T

The electric and magnetic forces will cancel each other when they are equal.

Magnetic force = Electric force

=> qvB = qE

=> v = E/B = 6000/1.5 = 4000 m/s

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