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A piece of wire has the shape of a semicircle with radius 𝑎 and lies in the first and second quadrant.
The wire is charged with a (line) charge density 𝜆(𝜃)=𝛼sin𝜃 with 𝜃 the angle and 𝛼 a constant.
Calculate the total wire charge 𝑄.
Why is the radius of this semicircle involved? I tried integrating over the angle from 0 to pi, but this gives me the answer 2𝛼, while the answer should be 2a𝛼.
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A current-carrying circular plate with A= 32.2 m2 is inclined at 34° with the Earth’s field direction. If the magnitude of the magnetic field is 48 125 nT, solve for the (a) angle between the normal to the surface and the B vector, and the (b) magnetic flux through the antenna
Solve for the magnetic flux through a loop with an area of 8.5 ✕ 10 -4 m2 found perpendicular to a magnetic field with magnitude 0.75 T.
An 88.30-cm wire that carries an electric current of 1.35 A perpendicular to the field has experienced a magnetic force of 9.0✕10 -3 N. Solve for the magnitude of the magnetic field that caused this force.
7.55-μC charged particle with a speed of 30.50 m/s is found in a uniform magnetic field with magnitude 1.2 T. Solve for the magnitude of the magnetic force exerted on the charged particle if the particle is moving perpendicular to the field.
Spheres A, B, and C have charges +8.0 C, +12.0 C, and -5.0 C, respectively. Spheres A and B touched each other and then separated. Sphere A then touched sphere C and then separated. What is the final charge on each sphere assuming that rA = rB = 2rC?
A truck travel down a highway at a speed of 66m/s with it's horns emitting sound at a frequency of 800Hz . What frequency is heard by a passenger in a car traveling at 60m/s in the same direction,as the car and truck approach each other (take velocity of sound in air as 350m/s)
Consider a spring used as a solenoid with a magnetic field of 0.25 T. (a) What is the magnetic field if the spring is stretched to twice its original length? (b) What is the magnetic field if the spring is compressed to half its original length and the current is increased to twice its original value?
A particle of charge -6.25 nC experiences a force of 1.25 N when it is moving at 3.75 x 10-4 m/s. Its motion is perpendicular to the magnetic field produced by a current-carrying wire, which is 3.0 cm from it. (a) What is the magnitude of the magnetic field? (b) How much current flows through the wire?
An electron experiences the greatest force as it travels 2.9 × 106 m s-1
in a magnetic
field when it is moving northward. The force is upward and of 7.2 × 10-13 N
magnitude. What are the magnitude and direction of the magnetic field? How to
reduce deflection force on the electron?
