Lenz’s law: In the figure, a straight wire carries a steady current I perpendicular to the plane of the page. A bar is in contact with a pair of circular rails, and rotates about the straight wire. The direction of the induced current through the resistor R is

Faraday’s law: A large magnetic flux change through a coil must induce a greater emf in the coil than a small flux change.

Force on moving charges: A particle with charge -5.00 C initially moves at

Dielectrics: An air-filled capacitor stores a potential energy of

Internal battery resistance: Two light bulbs, B1 and B2, are connected to a battery having appreciable internal resistance as shown in the figure. What happens to the brightness of bulb B1 when we close the switch S?

Compound microscope: The distance between the object and the eyepiece of a compound microscope is 18.0 cm. The focal length of its objective lens is 0.80 cm and the eyepiece has a focal length of 2.3 cm. The near-point distance of the person using the microscope is 25.0 cm. What is the total overall magnification of the microscope?

Lens-maker’s formula: A double-concave lens has equal radii of curvature of

Capacitors in combination: Three capacitors are arranged as shown in the figure. C1 has a capacitance of 5.0 pF, C2 has a capacitance of 10.0 pF, and C3 has a capacitance of 15.0 pF. Find the voltage drop across the entire arrangement if the voltage drop across C2 is 311 V.

Electric field and potential: In a certain region, the electric potential due to a charge distribution is given by the equation V(x,y,z) = 3x2y2 + yz3 – 2z3x, where x, y, and z are measured in meters and V is in volts. Calculate the magnitude of the electric field vector at the position (x,y,z) = (1.0, 1.0, 1.0).

Eyes: A machinist with normal vision has a near point at 25 cm. The machinist wears eyeglasses in order to do close work. The power of the lenses is +1.75 diopters. With these eyeglasses, what is the near point of the machinist?