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A parallel plate capacitor, circular in shape, is connected to a ℰ = 9.6 V battery and a R = 2100 Ω resistor in series as shown in the figure. The radius of each of the circular plate is a = 0.95 m and they are separated by a gap of d = 0.16 m.
a) What is the current, in amperes, from the battery when the switch is closed at t=0?
b) What is the magnetic field, in T, at a distance of r= 1.2m from the axis of the capacitor when the switch is closed?
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- A current of 6 sin 4t A flows through a 2-F capacitor. Find the voltage v(t) across the capacitor given that v(0) = 1 V. Complete solution, explanation and illustration.Consider the circuit below. The capacitor has a capacitance of 11 mF and starts out uncharged. The switch is closed at time t = 0. @ 2 W V = 12 V F2 R₁ = 20 Diagram Description R₂=402 # 3 a. At time t= 0 (immediately after the switch is closed), what is battery? Hint for (a) At time t= 0, the current from the battery is b. A long time after the switch is closed (and capacitor is fully charged), what is the current flowing out from the battery? Hint for (b) 80 F3 R₂ = 30 A long time after the switch is closed, the current from the battery is c. What is the charge on the capacitor a long time after the switch is closed? Hint for (c) The charge on the capacitor a long time after the switch is closed is E m $ R₁ = 30 F4 R % 5 current flowing out from the F5 T 6 F6 Y A. mC. & 7 AA F7 U * 00 8 DII FB ( 9 8 F9Apply Kirchhoff rules. Determine EMF of the battery. The current given above is total current in the circuit.
- You connect a battery, a resistor, and a capacitor as shown in Figure 4, in that e = 36.0 V, C = 5.0 uF and R = 120 Ohms C. The switch S is closed at t = 0. (a) When the voltage across the capacitor is 8.00 V, what is the magnitude of the current in the circuit? (b) At what time t after the switch is closed the voltage across the capacitor is equal to 8.00 V? (c) When the voltage across the capacitor equals 8.00 V, at what speed is energy being stored in the capacitor? Translation: "Chave aberta" = switch openA simple series circuit consists of a 140 2 resistor, a 24.0 V battery, a switch, and a 3.20 pF parallel-plate capacitor (initially uncharged) with plates 5.0 mm apart. The switch is closed at t=0s. ▾ 80 F3 a F4 BB Part A After the switch is closed, find the maximum electric flux through the capacitor. Express your answer in volt-meters. ▸ View Available Hint(s) ΜΕ ΑΣΦ ? Submit Part B V.m After the switch is closed, find the maximum displacement current through the capacitor. Express your answer in amperes. ▸ View Available Hint(s) ΜΕ ΑΣΦ Submit Part C Find the electric flux at t=0.50 ns. Express your answer in volt-meters. ▸ View Available Hint(s) F6 % 25 6 & 28 7 A বর DII DA F7 N E R T Y U D F G H 80 r F9 9 0 K 0 F10 L Pa)What is the current through R1 immediately after the switch S is closed? b) What is the current through R2 after the switch S has been closed for a very long time? Assume that the battery does not go dead.
- In the figure, suppose the switch has been closed for a length of time sufficiently long for the capacitor to become fully charged. For this circuit, R1 = 12.0 kΩ, R2 = 15.0 kΩ, R3 = 3.000 kΩ, C = 10.0 μF , and emf = 9.00 V. Find (d) the potential differance across R2. (e) the charge on the capacitor.C2 C1 XS R 5. From the figure above, a pair of charged capacitors are given C1 and C2 = 2 µF which are charged with a battery of 12 V. Determine then, how much charge between both capacitors is left after the switch has closed for over 1ms? How much is left for the capacitors C1 and C2? Lastly, determine the . 1 μF current of the circuit after this time.You connect a battery, resistor, and a capacitor as in figure 1, where R= 15.0 ohms and C= 5.00x10^-6 F. The switch S is closed at t=0. When the current in the circuit has magnitude 3.00 A, the charge on the capacitor is 40.0x10^-6 C. (A) what is the emf of the battery? (B) at what time t after the switch is closed is the charge on the capacitor equal to 40.0x10^-6? (C) when the current has magnitude 3.00 A, at what rate is the energy being stored in the capacitor? (D) when the current has magnitude 3.00 A, at what rate is energy being supplied by the battery?
- What is the current (in Amps) in the circuit at t = 0.00500s?At time t=0, the switch is moved to position A and remains there for 2.00 seconds. Then the switch is moved to position B. Assume the battery and ammeter are ideal and the resistance of the wires is negligible. a) Find the charge on the capacitor after the switch was in position A for 2.00 seconds. R = 27.5 KQ m (Α + C = 47.0 μF (initially uncharged) Switch position A E 12.0 V b) Find the current through the ammeter after the switch has been in position B for 1.00 second. c) How long does it take (after the switch is moved to position B) for the charge on the capacitor to decrease to 53.0 μC?3. The circuit in Figure P28.75 contains two resistors, R1 = 2.00 k2 and R2 = 3.00 kN, and two capacitors, C = 2.00 µF and C2 = 3.00 µF, connected to a battery with emf ɛ = 120 V. No charge is on either capacitor before switch S is closed. Determine the charges q1 and q2 on capacitors C1 and C2, respectively, after the switch is closed. (Suggestion: First reconstruct the circuit so that it becomes a simple RC circuit containing a single resistor and single capacitor in series, connected to the battery, and then deter- mine the total charge qstored in the equivalent circuit.) %3D %3D %3D R1 R2 C2 S Figure P28.75