Question

What is the direction of the magnetic field? An electron experiences the greatest force as it travels 3.7 x 10° m/s in a magnetic field when it is moving northward. The force is vertically upward and of magnitude 6.5 x 10- N. West North East South Submit Request Answer Part B What is the magnitude of the magnetic field? Express your answer using two significant figures. 0 Ad Rom ?

Answer 1

Solution-

Use the formula for force on a charged particle,

$\vec F=q(\vec vX\vec B)$

(A)

For electron take negative change to find the direction of force, assume verticle upward as +Z axis

$\vec F=-q(\vec vX\vec B)$

$\hat k=-q(\hat jX\vec B)$

B will satisfy + x direction(east)

$\hat k=-qvB(\hat jX\hat i)$

Therefore, the magnetic field will be in the east direction.

Option C is correct.

(B)

Use the equation to find the value of the magnetic field,

$\vec F=-q(\vec vX\vec B)$

$6.5X10^{-13}=1.6X10^{-19}X3.7X10^5XB$

Therefore, the magnitude of the magnetic field is 10.98 T.