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1) a charge q= 8 uC is moving along the x axis with a velocity of v=4 x 10^4 m/s. a magnetic field of magnitude B=3T is along the y-axis. a) find the magnitude and direction of the net force acting on the charged particle. b) if the velocity makes an angle of 30 degrees with the x axis find the magnitude and direction of the force.
2) Four equal charge, each of value -9 uC is placed on the corners of a square of side 20 cm; a) find the total electric potential at the center of the square, b) if the charges on the opposite sides of the diagonals are equal and opposite, what is the total potential at the center of the square.
3) a 5.0 uF capacitor, a 2.0 K omega resistor, a 60V battery and a switch are all connected in series. a) what is the current in the circuit immediately the switch closed? b) what is the current in the circuit a long time after the after the switch is closed? c) find the maxium charge accumlated on the capacitor d) what is the time constant e) find the voltage on the capacitor at t=20 ms f) what is the energy stored in the capacitor at t= 20ms
4)Given r1=20 ohms r2=40 ohms r3=60 ohms and the battery V=12V, a) find Req b) the current through each resistor c) the voltage across each resistor d) the total power supplied by the source
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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