The switch in the circuit shown in (Figure 1) has been closed for a long time, and the current through the battery and the charge on the capacitor are no longer changing. At t = 0 the switch is opened. Determine the following in terms of R, C, E, and t: (a) the initial current through the battery; (b) the initial charge on the capacitor; (c) the power being delivered to the second (vertical) resistor the moment after the switch is opened; (d) the time it takes the charge on the capacitor to fall to half of its original value after the switch is opened. Part C Write down Ohm's law for resistance R that has voltage V and current I. Enter your answer as the expression for resistance. Express your answer in terms of some, all, or none of the variables V and I. ► View Available Hint(s) R = V IVE ΑΣΦ. Submit Part D X Incorrect; Try Again; 4 attempts remaining P= Previous Answers Write down the equation for the power delivered to resistor R under voltage V. Express your answer in terms of some, all, or none of the variables R and V. ► View Available Hint(s) P ΠΠ ΑΣΦ Submit Previous Answers ? X Incorrect; Try Again; 5 attempts remaining ?

In an experiment the current in a wire as a function of the voltage was measured and the data is reported in the table below. From the data we can conclude that: Frial V (volts) (атреres) 0.25 1 5.0 10.0 0.50 15.0 0.75 4 20.0 1.00 5 25.0 1.50 30.0 1.65 35.0 1.55 8. 40.0 1.53 O The resistance of the wire is 20 Q. The current in the wire is directly proportional to the applied potential difference. The wire does not obey Ohm's law. The wire obeys Ohm's law over the range of potential differences between 5 and 20 V. O The wire obeys Ohm's law over the range of potential differences between 5 and 3 V.

In the circuit shown below, the capacitor is initially charged with +36 μC on the upper plate and –36 μC on the lower plate, it has a capacitance of C=2μF, and Switch A is open. Switch A is then closed. a) Find the current I1 immediately after Switch A is closed. b)Find the amount of time it takes the current to be reduced by a factor of 1/e. That is, after how much time is the current I1 37% of its initial value?

Given that E= 12.0 V, R₁ = 1.00 S2, R₂ = 2.00 S2, R3 = 3.00 S2, and R4 = 4.00 2, calculate the following: (a) the equivalent resistance of the circuit, (b) the power supplied to the circuit by the EMF, (c) the voltage across R3 and (d) the current through R4. Include the reduced circuit diagrams for this situation. R₁ E ww/h www www R₂ RA Rg: www

The figure shows an RC circuit. The switch S is initially open as depicted. We assume that initially all capacitors are uncharged. At time t=0 the switch is closed. Find the current through the red 5000 resistor (a) (b) Just after the switch is closed. When the switch has been closed for a long time. 12V- S m 500Ω www :5μF 2ΚΩ 500Ω HE 2μF M 2ΚΩ www 1kΩ 2ΚΩ

Please answer carefully.

A 6-mF capacitor is charged to 12 V and then connected across a 100 W resistor. Find  (a) The initial charge on the capacitor  (b) The initial current through the resistor  (c) The time constant  (d) The charge on the capacitor after 3 ms

Consider an uncharged capacitor and a resistor that are connected in series to a = 15 V battery as shown. Find the charge on the capacitor as a function of time t when C = 20 µF, and R=4.0 × 10³ Q, ○ Q(t) = 150 (1-e-0.750t) μC ○ Q(t) = 600 (1-e-0.250) μC O Q(t) = 300 (1-e-0.125t) μC ○ Q(t) = 300 (1-e-0.250) μC ○ Q(t) = 600 (1-e-0.125t) μC

A circuit consists of a resistor R1 = 126 Ω, a resistor R2 = 275 Ω, a capacitor C = 182 mF, a switch, and an e = 3.00-Vbattery, all connected in series. Initially the capacitor is uncharged and the switch is open. At time t = 0 the switch isclosed. (a) What charge will the capacitor have a long time after the switch is closed? (b) At what time will the chargeon the capacitor be 80.0% of the value found in part (a)?

A 2.00-nF capacitor with an initial charge of 5.81 µC is discharged through a 1.56-kΩ resistor. (a) Calculate the current in the resistor 9.00 µs after the resistor is connected across the terminals of the capacitor. (Let the positive direction of the current be define such that dQ dt > 0.) mA (b) What charge remains on the capacitor after 8.00 µs? µC (c) What is the (magnitude of the) maximum current in the resistor? A