NEED THIS BEFORE MIDNIGHT! WILL RATE! The magnetic held over a certain range is

Question

NEED THIS BEFORE MIDNIGHT! WILL RATE!

The magnetic held over a certain range is given by B = B_x i+ B_y j, where B_x = 5 T and B_y = 9 T. An electron moves into the Held with a velocity v = v_x i+v_y j+v_z k, where v_x = 9 m/s, V_y = 1 m/s and v_z=7 m/s. The charge on the electron is -1.602 times 1o_-19c. What is the i component of the force exerted on the electron by the magnetic field? Answer in units of N. What is the j component of the force? Answer in units of N. What is the k component of the force? Answer in units of N.

Explanation / Answer

Here,

for the magnetic field

B = 5 i+ 9 j

speed of electron

v = 9 i + j + 7 k m/s

Now , for the magnetic force acting on the electron is

F = q * (V X B)

F = -1.602 *10^-19 * ( 9 i + j + 7 k ) X ( 5 i+ 9 j )

F = -1.602 *10^-19 * (-63 i + 35 j + 76 k)

F = 1.01 *10^-17 i -5.61 *10^-18 j - 1.218 *10^-17 k

1)

the i component of the force exerted on the electron is 1.01 *10^-17 N

2)

the j component of the force exterted on the electron is -5.61 *10^-18 N

3)

the k component of the force exterted on the electron is 1.218 *10^-17 N

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