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1. At the equator the Earth\'s magnetic field has a direction horizontal with re

ID: 1393955 • Letter: 1

Question

1. At the equator the Earth's magnetic field has a direction horizontal with respect to the ground and toward the north with a magnitude of 5.0 x 10^-5 T. Suppose that the Earth's atmospheric electric field is 100 V/m directed vertically down. With what velocity (magnitude and direction) must an electron be fired if the magnetic force is to cancel the electric force? 2. A conductor suspended by two flexible wires as shown in the figure. The conductor has a mass per unit length of 0.040 kg/m. What current must exist in the conductor for the tension in the supporting wires to be zero when the uniform magnetic field is 3.60 T and is directed into the page? What is the required direction for the current?

Explanation / Answer

1) given are

B=5*10^-5 T

E=100V/m

v=?

the magnetic force given by

F=qvB

force on an electron is

F=qE

putting both together we get

qvB=qE

vB=E

so v=E/B

v=100V/m/5*10^-5 T

v=20*10^5 m/sec---Answer

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