Coulomb's law; electric field, potential and capacitance; current electricity; magnetic effects of current; electromagnetic induction; AC and DC circuits.
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Q1 · Electricity and Magnetism · MEDIUM
Two infinitely long parallel wires carry currents I₁ = 4 A and I₂ = 6 A in opposite directions. They are separated by a distance d = 0.2 m. At what distance x from the first wire (on the line joining them) is the magnetic field zero?
Q2 · Electricity and Magnetism · MEDIUM
A parallel plate capacitor with plate area A and separation d is filled with two dielectrics of equal thickness (d/2 each) having dielectric constants K₁ = 2 and K₂ = 4. If the capacitance with dielectrics is C, the capacitance without dielectrics would be:
Q3 · Electricity and Magnetism · HARD
A flat circular coil with N turns is wound tightly in the form of a spiral with inner radius 2a and outer radius 3a. When a steady current I flows through the coil, the magnitude of the magnetic field at the center is:
Q4 · Electricity and Magnetism · MEDIUM
A conducting solid sphere of radius R, mass M, and charge Q rotates about an axis through its center with uniform angular velocity ω. The ratio of the magnitude of the magnetic dipole moment to the angular momentum is: