When a capacitor is placed in an alternating-current (AC) circuit, the charge on its plates varies with time according to the function shown below. q(t) = 59cos(1880 · t) µC (Here t is in seconds.) What is the current i(t) flowing through this capacitor as a function of time? [N.B.: Note the power-of-ten prefixes on the units!]

Consider the circuit shown in the figure below. (Assume R = 4.80 Ω and ΔV = 12.0 V.) (a) Find the equivalent resistance of the circuit in the figure. I FOUND IT TO BE 12.11 OHMS(b) Find each current in the circuit.(c) Find the potential difference across each resistor.(d) Find the power dissipated by each resistor.

The following equations describe an electric circuit. −I1(247 Ω) + 5.80 V − I2(381 Ω)  =  0 I2(381 Ω) + I3(150 Ω) − 3.10 V  =  0 I1 + I3 − I2  =  0 Calculate the unknowns (in mA). With respect to the 5.8 V battery, consider current moving toward the positive pole as positive and current moving toward the negative pole as negative. THE FOLLOWING GIVEN ANSWERS WERE INCORRECT: I1= -10.008 mA I2= -0.868 mA I3= 0.139 mA

Find the charge q(t) on the capacitor and the current i(t) in the given LRC-series circuit. 1 L =2h, R = 10 N, C = 70 5 f, E(t) = 350 V, q(0) = 0 C, i(0) = 0 A 7 q(t) i(t) A Find the maximum charge on the capacitor. (Round your answer to three decimal places.) |c

The capacitor in the circuit shown below is initially uncharged. The switch is closed at t = 0 s. AVbattery = 30 V, C = 3.0 F, and R = 2.0 Q. What is the current in the circuit at t = 7.5 s, in Ampere? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. R HIH

Consider the circuit shown in the figure. A short time after closing the switch, the charge on the capacitor is 75.0% of its initial charge. Assume the circuit has a time constant of 18.2 s.   (a) Calculate the time interval required (in s) for the capacitor to reach this charge.  s   (b) If R = 240 kΩ, what is the value of C (in µF)?  µF

Circuit Problem: Express each labelled voltage and current (e.g., vx, ix) in terms of the resistances and source currents and voltages (e.g., R0).