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Crossed electric and magnetic fields are set up in a region of space as follows

ID: 1372919 • Letter: C

Question

Crossed electric and magnetic fields are set up in a region of space as follows : the electric field is 4500 V/m to the east, and the magnetic field is 0.650 T straight down. A beam of Cl ions ( q= -e , m= 5.88 x 10^-26 kg) move from south to north through the fields, and experience zero net force from the combination of the fields.
A. At what speed are the Cl- ions moving?
B. Find the force of Cl- ion due to the magnetic field. Crossed electric and magnetic fields are set up in a region of space as follows : the electric field is 4500 V/m to the east, and the magnetic field is 0.650 T straight down. A beam of Cl ions ( q= -e , m= 5.88 x 10^-26 kg) move from south to north through the fields, and experience zero net force from the combination of the fields.
A. At what speed are the Cl- ions moving?
B. Find the force of Cl- ion due to the magnetic field.
A. At what speed are the Cl- ions moving?
B. Find the force of Cl- ion due to the magnetic field.

Explanation / Answer

a)

E = 4500 V/m

B = 0.65 T

Magnetic force, Fm = qvB

Electric force, Fe = qE

Now, as the net force = 0

So, Fm = Fe

So, qvB = qE

So, v = E/B = 4500/0.65 = 6923.1 m/s <-----------answer

b)

Fm = qvB

= 1.6*10^-19*6923.1*0.65

= 7.2*10^-16 N <-----------answer

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