An electron moving with a velocity upsilon = 5.0 times 10^7 m/s i enters a regio

Question

An electron moving with a velocity upsilon = 5.0 times 10^7 m/s i enters a region of space where perpendicular electric and a magnetic fields are present. The electric field is E = 1000 V/m j. What magnetic field will allow the electron to go through the region without being deflected? A) 0.02 mT j B) -0.05 mT k C) 0.02 mT k D) -0.02 mT k E) -0.02 mT j 7) A current carrying wire is currently carrying current to the left. In the plane of your page, a negative charge is directly above the wire moving to the right. In what direction is the force on the charge? A) down B) up C) out of page D) into page E) zero force 8) A very long straight wire carries a 12-A current eastward and a second very long straight wire carries a 14-A current westward. The wires are parallel to each other and are 42 cm apart. Calculate the force on a 6.4 m length of one of the wires, (mu_0 = 4pi times 10^-7 T middot m/A) A) 2.2 times 10^-4 N B) 8.0 times 10^-5 N C) 5.1 times 10^-4 N D) 5.1 times 10^-6 N E) 8.0 times 10^-7 N 9) A hollow, conducting cylinder with an inner radius of 4.0 mm and an outer radius of 30 mm conducts a 3.0-A current flowing parallel to the axis of the cylinder (the conductor is solid for r such that 4 mm

Explanation / Answer

6.

For the electron to pass undeflected

Electric force = magnetic force

qE = qVB

E = VB

1000 = (5 x 107) B

B = 2 x 10-5 T

0.02 mT k^

7.

direction of magnetic field : inward to the page

direction of current = left

using right hand rule , magnetic force comes out to be in down direction

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