1)Which statements about the force on a charged particle placed in a magnetic fi

Question

1)Which statements about the force on a charged particle placed in a magnetic field are true?

a)A magnetic field always exerts a force on a charged particle.

b)The direction of the force is along the magnetic field.

c)The force is a maximum if the particle is moving in the direction of the field.

d)The force causes the particle to gain kinetic energy.

e)A magnetic force is exerted only if the particle is moving.

2) A 42-cm-long solenoid, 1.8?cm in diameter, is to produce a 0.030-T

magnetic field at its center. If the maximum current is 4.6

A , how many turns must the solenoid have?

Explanation / Answer

a)A magnetic field always exerts a force on a charged particle.

FALSE

b)The direction of the force is along the magnetic field.

FALSE

c)The force is a maximum if the particle is moving in the direction of the field.

FALSE

d)The force causes the particle to gain kinetic energy.

FALSE

e)A magnetic force is exerted only if the particle is moving.

TRUE

B = ?o n I,

where,

B = magnetic field inside the solenoid,

n = N / length = number of turns per unit length of the solenoid

I = current

Here, B = 0.030 T

So, n = 0.030 / ( 4 * 3.14 * 10 ^ -7 * 4.6) = 5189.83 turns/metre

Here, I = 4.6 A, B = 0.030 T

But, n = N / length

Hence, N = n * length

N = 5189.83 * 0.42

Or N = 2180 turns

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