1) An initially uncharged capacitor C is in a single loop with an ideal battery E and a resistor R. The switch is closed and current versus time data is collected using Logger Pro. A 3.5 E- 2.5 2 1.5 1. 0.5 Time (ms) 20 40 60 80 100 120 140 160 180 200 220 240 (a) State the quantity represented by the "area under the curve" (integral) of the current vs. time graph. (b) Describe why the current decreases over time, and eventually 0 current travels through the circuit. Current (mA)
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- Problem #2: Maxwell's Equations. Consider the RC circuit shown. It consists of: an ideal 18 V battery, E a 30 resistor, and a 15 mF capacitor. R The capacitor consists of two circular plates separated by a small distance. Each plate has radius R € 0.46 m. The capacitor is initially uncharged. GH = At time t = 0, the switch is closed. с 3. How fast is the electric flux between the capacitor plates changing at the instant the switch is closed? S 4. When the current through the resistor is 0.40 A, what is the magnetic field at point H, a distance of 0.35 m from the center of the capacitor?R1 S R3. R2 4. Determine in the current in each resistor given that R1 = R2 = R3 = 12, the capacitance C = 0.5 µF, and potential across the batter of E = 2V when the switch is closed at t = 0. Determine then after some time (t = x) after the switch is closed the currents in each resistor.Two cells having unknown e.m.fs. E, and E, (E, > E2) are connected in potentiometer circuit so as to assist each other. The null point is obtained at 8.125 m from the highest potential end. When the cell E, is connected so as to oppose cell E1, null point is obtained at 1.25 m from same end. Compare e.m.fs. of two cells.
- Two cells having unknown e.m.f.s E₁ and E₂ (E₁ > E₂) are connected in potentiometer circuit so as to assist each other. The null point is obtained at 8.125 m from the highest potential end. When cell E₂ is connected so as to oppose cell E₁, the null point is obtained at 1.25 m from same end. Compare e.m.f.s. of two cells. Re FachA large capacitor of 3000 µF is charged by a constant current. After 1 minute it reaches a voltage of 100 V. At that voltage, the charging circuit is disconnected. a) Calculate the charging current. b) A second identical capacitor is connected across the capacitor, using wires with 1 kN re- sistance. Sketch a graph of the voltages on the two capacitors as a function of time, with appropriate numbers and units marked on the axes.Question A3 A large capacitor of 3000 µF is charged by a constant current. After 1 minute it reaches a voltage of 100 V. At that voltage, the charging circuit is disconnected. a) Calculate the charging current. b) A second identical capacitor is connected across the capacitor, using wires with 1 kN re- sistance. Sketch a graph of the voltages on the two capacitors as a function of time, with appropriate numbers and units marked on the axes.
- Remembering the 'RO circuits" experiment, imagine that an uncharged capacitor and a resistor are serially connected as shown in the schematic drawing, where C=5 F, s=12V and R=800 ko. At t=0, the switch S is connected to the circuit. Find the magnitude of the current at t=4 s (in order to simplify your solutions, take e = 2,7 in your calculations). RThe compressor on an air conditioner draws89.1 A when it starts up. The start-up time isabout 0.243 s.How much charge passes a cross-sectionalarea of the circuit in this time?Answer in units of C.Considering the same circuit, only with the switch thrown from b to a at time t = 0 after having been in position b for a long time. DATA: Vb = 12 V, C = 10 µF, R = 20 Ω.a.) What is the curnent through the resistor just BEFORE the switch is thrown?b.) What is the current through the resistor just AFTER the switch is thrown?c.) What is the charge across the capacitor just BEFORE the switch is thrown?d.) What is the charge on the capacitor just AFTER the switch is thrown?e.) What is the charge on the capacitor at at time t = 0.3 msec after the switch is thrown?
- Problem 8: A capacitor of capacitance C-10 uF has been charged so that the potential difference between its plates is Vo 380 V. The capacitor is then connected to a resistor of resistance R-6.5 k2. The switch S is closed, and the capacitor begins to discharge Randomized Variables Vo 380 V Otheexpertta.com Δ Part (a) Calculate the time constant of the circuit in seconds. tan() cos0) cotanasin) acos(0 atan() acotan sinh() cosh)tanh cotanh) O Degrees O Radians sin HOME 4 5 6 0 BACKSPACE CLEAR Submit Hint I give up! Hints: 1%, deduction per hint. Hints remaining: 2 Feedback: 1% deduction per feedback. a Part (b) Calculate the charge Qo on the capacitor before the switch is closed, in coulombs. Part (c) Calculate the current Io immediately after the switch is closed, in amperes. . Part (d) Calculate the potential difference VC in volts between the capacitor plates at time t - 5.0 ms after the switch is closed A Part (e) Calculate the time T in s after which the charge on the capacitor has…Consider his circuit, which has C = 0.50 F and L = 0.20 H. With the switchopen, the capacitor is charged up using a 2V battery. The battery is then removed. Then,at time t=0, the switch is closed. a) What is the earliest time, after t=0, when the capacitor has no charge on it? mProblem 8: A capacitor of capacitance C-10 uF has been charged so that the potential difference between its plates is Vo 380 V. The capacitor is then connected to a resistor of resistance R-6.5 k2. The switch S is closed, and the capacitor begins to discharge Randomized Variables Vo 380 V l- ©theexpertta.com Δ Part (a) Calculate the time constant of the circuit in seconds. tan() cos0) cotanasin) acos(0 atan() acotan sinh() cosh)tanh cotanh) O Degrees O Radians sin HOME 4 5 6 0 BACKSPACE CLEAR Submit Hint I give up! Hints: 1%, deduction per hint. Hints remaining: 2 Feedback: 1% deduction per feedback. a Part (b) Calculate the charge Qo on the capacitor before the switch is closed, in coulombs. Part (c) Calculate the current Io immediately after the switch is closed, in amperes. . Part (d) Calculate the potential difference VC in volts between the capacitor plates at time t - 5.0 ms after the switch is closed A Part (e) Calculate the time T in s after which the charge on the capacitor…