Problem 1 You heat your room with a 1500-Watt heater running from a wall socket at 120 Vrms. (a) What is the RMS current in the heater? (b) What is the peak current in the heater? (c) What is the resistance of the heater? (d) If the heater is on for 4.0 hours, how much energy is used in Joules and kW.h? Problem 2 A 0.400 JF capacitor is connected across the terminals of a variable frequency oscillator which has an output of 2.50 Vrs. a) What is the frequency when the reactance is 6.63 k0? b) What is the reactance when the frequency is 60.0 kHz? c) What is the current in the capacitor at 60.0 kHz? Problem 3 Assume that an ac voltage generator produces an output which is described by the equation: V(t) = (3.7 V) sin(145t) (all units are SI) a) What is the RMS voltage? b) What is the frequency? c) What is the reactance of a 0.40 F capacitor connected across this voltage? d) What is the equation for the current flowing as a function of time, i(t)? e) What is the RMS current, based on the equation from part (d)?Problem 4 41 = 1.45 A 2 = 1.45 A A constant current of 1.45 Amps is flowing in two long straight wires, which run parallel to each other in the plane of the paper. The current flows in the same direction in each wire. 5.0 mm P 5.0 mm (a) Calculate the magnitude of each magnetic fields generated by the currents at the point P. (b) Which direction does each magnetic field point in at point P7 (c) What is the net magnetic field at ty Point P? + x (d) Suppose the current la flows in the reverse direction. What is the net (+z out of page) magnetic field at point P now? Problem 5 A positively charged particle is moving in a magnetic field of magnitude 2.50 T B +V directed along the positive x axis. The velocity of the particle is 2.98*10' m/s +X and is directed at 60 counterclockwise from the positive x axis. The charge on the particle is 1.61*10-19 C. (a) Calculate the magnitude of the magnetic force on the particle. (b) What direction is the magnetic force in? (c) Suppose you wanted to use an electric field to exactly cancel out the magnetic force. What magnitude of field would be needed, and in what direction would the field have to be directed? (d) The electric field in part (c) is generated by applying a potential difference across two parallel plates, 1.00 cm apart. What potential difference is needed