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1.) Four equal magnitude point charges (3 uC) are placed at the corners of a square that is 4 cm on a side. Two diagonally opposite each other, are positive and the other two are negative. Determine the force on either negative charge.

2.) Charges of +2,+3, and -8 uC are placed at the vertices of an equilateral triangle of side 10 cm. Calculate the magnitude of the force acting on the -8 uC due to the other two charges
1. How is the path of the integration of ∫ B⋅d s chosen when applying Ampere’s law?

2. Suppose three infinitely long parallel wires are arranged in such a way that when
looking at the cross section, they are at the corners of an equilateral triangle. Can currents be arranged (combination of flowing in or out of the page) so that all three wires (a) attract, and (b) repel each other? Explain.

3. A spherical conducting shell is placed in a time-varying magnetic field. Is there an
induced current along the equator?

4. A rectangular loop moves across a uniform magnetic field but the induced current is
zero. How is this possible?
How many electrons should be removed from an electrically neutral silver coin to give it a charge of 200 MC?
A conducting ring of radius 0.15m is set to turn around a vertical axis in a region where there is a horizontal magnetic field. The intensity of the magnetic field is 0.04T. a) What is the magnitude of the maximum value attained by the magnetic flux through the ring? b) If the ring takes 2 seconds to do a full 360 degree revolution, what is the magnitude of the average emf produced as it does one quarter turn, passing from an orientation parallel to the field to an orientation perpendicular to it?
A coil is nested inside a larger coil. When the current in the outer coil is changed, there is an induced current in the inner coil. If we double the loop density n of the outer coil, by what factor will the induced current in the inner coil change? What about if we instead double n in the inner coil (while keeping the length constant)?
1 A square loop of edge L located in the xy plane at z = 0 carriesa clockwise current i as indicated on the right.
a) Show that, for rp = zp^z on the axis of the loop at a distance zp from its center,
H(z) =4iL2/pi*(4z^2 + L^2)*(4z2 + 2L2)^0.5

3. A long cylindrical non-magnetic conductor of radius R0; whose axis coincides
with the ^z-axis, carries a uniformly distributed current I0 in the +^z direction. A cylindrical
hole is now drilled out of the conductor, parallel to the axis, so that the cross section is shown
below. The centre of the hole is at x = a, and the radius is b.
Determine the magnetic eld ~H inside the hole.
4. A horizontal strip of negligible thickness, made of non-magnetic material, having width d and extending from y = -d/2 to y = d/2 in the y-direction, and in nitely long in the x-direction, is placed in the xy plane. Find H at rp = (0; 0; z0) if

a) the strip has a surface current density ~Ks = K0^x,
b) the strip has a surface current density ~Ks = K0
Determine the magnitude and direction of the electric field 21.7 cm directly above an isolated 33.0 x 10-5 C charge
What is the potential difference between two points in a circuit if 200J of electrical energy are changed to other forms of energy when 25 coulombs of electric charge pass? If the charge flows in 10 seconds, what is the current?
2. A wire 100cm long and 2mm in diameter has a resistivity of 4.8x10
-8Ωm.
(i) Calculate the resistance of the wire?
(ii) A second wire of the same material has the same weight as the 100m length, but twice its diametric. Evaluate its resistance.
As a loop of wire with a resistance of 10 ohm moves in a constant non uniform magnetic feild, it looses kinetic energy at uniform rate of 4ms/s. What will be the induced current in the loop?
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