Electricity and Magnetism Answers

a proton moving horizontally at 3.7 x 10 to the fifth power ms and thirst and a uniform magnetic field of 0.08 e60 directed upward at 35 degrees with the horizontal find the magnitude of the magnetic force acting on the proton

A flexible rectangular coil of wire with 150 loops is stretched in such a way that its dimension changes from 5 cm x 8 cm to 7 cm x 11 cm in 0.15 s in a magnetic field of 25T that is 30 degrees relative to the plane of the coil.

a. Calculate the induced EMF

b. How much energy in joules was dissipated in the circuit if the total resistance is 100Ω?

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Solution:

A circular loop of wire of radius 0.25 cm is expected to an external magnetic field that is perpendicular to the plane of the loop. For a time, the magnetic field decreases at a rate of 0.0035 T/s. What is the magnitude of the induced electromagnetic force in the loop?

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Given:

Solution:

A circular loop of wire of radius 0.25 cm is expected to an external magnetic field that is perpendicular to the plane of the loop. For a time, the magnetic field decreases at a rate of 0.0035 T/s. What is the magnitude of the induced electromagnetic force in the loop?

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A flexible rectangular coil of wire with 150 loops is stretched in such a way that its dimension changes from 5 cm x 8 cm to 7 cm x 11 cm in 0.15 s in a magnetic field of 25T that is 30 degrees relative to the plane of the coil.

a. Calculate the induced EMF

b. How much energy in joules was dissipated in the circuit if the total resistance is 100Ω?

Show full solution:

What force is there between two charges, each with 2.0 x 10^-6 C if they are 0.03 m apart?  

Two small sphere spaced 20.0 cm apart have equal charge. How many excess electrons must be present on each sphere if the magnitude of the force of repulsion between them is 4.57x10^-21 N?

What is the third harmonic of a pitch with a base frequency of 314 Hz?

the cross-sectional area of an adjustable single loop is reduced from 1.0m^2 to 0.50m^2 in 0.10s. What is the average emf that is induced in this coil if it is in a region where B=2.0 T upward, and the coil's plane is perpendicular to B?

. A point charge, q= 5x10^-6 C and m=1x10^-3kg, travels with a velocity of 30 m/s then enters a magnetic field: B = 1x10^-6 T.

A a. What is the kinetic energy of the point charge? 

b. What is the magnitude of the magnetic force that acts on the charge once it has entered the field?

c. What is the magnetic force vector exerted on the charge just as it enters the field?

d. Why does the magnetic force exerted on the point charge not change its kinetic energy?