1. Please derive the charge on a capacitor as function of time q(t) = q0*e-t/RC and the current in the circuit as function of time i(t)=(V0/R)*e-t/RC by solving the differential equation constructed with Kirchhoff's second rule after analyzing a charged RC circuit without connected to battery. 2. Please derive the unit of τ=RC using both the units of resistor and capacitor and explain the meaning of τ.

Q: A 2.00-nF capacitor with an initial charge of 4.60 µC is discharged through a 2.69-kΩ resistor. (a)…

A: The capacitance of the capacitor is C= 2 nF. The initial charge of the capacitor is Q0= 4.6 micro…

Q: 102 C 3. For the circuit at right, find: ノン (a) The current at pts. A, B, C,D,& E. The power…

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Q: A 2.00-nF capacitor with an initial charge of 5.14 pC is discharged through a 2.29-k2 resistor: (a)…

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Q: 1. A light bulb marked "25 W [at] 120 V" is screwed into a socket at one end of a long extension…

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Q: You put  9.0V  DC across resistor  R₁  and measure the current through it. With the same voltage…

A: Solution: Question 3                                                   Using Ohm's law we have:V…

Q: Four resistors, R1 = 100 N, R2 = 250 N, R3 = 350 N and R4 = 200 N are connected such that the…

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Q: (a) What is the resistance of a 1.00 × 102 Ω, a 2.50 kΩ, and a 4.00 kΩ resistor connected in series?…

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Q: A 2.00-nF capacitor with an initial charge of 5.94 µC is discharged through a 1.47-kΩ resistor. (a)…

A: (a) The discharge current in the circuit as a function of time be defined as, i=q0RCe-tRC=5.94…

Q: A 730.0-Ω resistor is connected across the terminals of a 14.0-nF capacitor that carries an initial…

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Q: 1. If the voltage across 3 µF capacitor is v(t) = 50sin (250rt) V; A. Plot a graph of the voltage vs…

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Q: 50.0 V Consider the circuit with R = 205 kQ and C = 256 µF. If the capacitor is initially uncharged,…

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Q: 1. What is the time constant for an RC circuit with R= 45 kN and C = 1.2 µF? 2. If it takes 5 us for…

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Q: 1. What is the potential difference across an electrical load that has a resistance of 7 Ω and a…

A: According to Bartleby guidelines we can only solve the first question at a time. Kindly post the…

Q: 1. The figure below shows an RC circuit consists of uncharged capacitor C = 500 µF resistor R1 =…

A: Given that :C=500μF   =500 x 10-6 Fε=210 VR1=3.5 kΩ    =3.5 x 103ΩR2=12.2 kΩ    =12.2 x 103 ΩThen…

Q: 13.Consider an electric circuit containing a capacitor, resistor, and battery; see Figure 1.2.3. The…

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Q: R 50.0 V C Consider the circuit with R = 125 kQ and C = 407 µF. If the capacitor is initially…

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Q: Figure Q.1(a) shows a DC voltage, Vab connected to a series of three resistors structed using…

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Q: circuit has a resistor of 1.4MΩ and a capacitor with a capacitance of 1.8µF hooked up in series with…

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Q: A 10 Q resistor (R1) and a 15 resistor (R2) are connected in parallel to an ideal emf device which…

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Q: 1.From the figure, solve for the current and the voltage drop across each resistor. Let R1 = 1kΩ, R2…

A: Note-           Bartleby's guidelines allowing answer only first question.

Q: 1) Advantages of parallel connection over series connection of resistors. 2) Advantages of series…

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Q: A combination of three resistors R1, R2 and R3 in series is connected across a voltage source Vt.…

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Q: A lamp in a child's Halloween costume flashes based on an RC discharge of a capacitor through its…

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Q: 1. Consider an RC curcuit shown in Figure 1 of charging capacitor given with time constant T=RC=0.05…

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Q: Problem 9: A capacitor is charged with a total charge of q = 5.1E-05 C. The capacitor is wired in…

A: (a)The expression for time constant is,

Q: Four resistors, R, = 100 N, R2 = 250 N, R3 = 350 N and R4 = 200 are connected such that the parallel…

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Q: R 50.0 V Consider the circuit with R = 261 kQ and C = 162 µF. If the capacitor is initially…

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Q: For the dc network shown in Figure Q3 (b), calculate the following: i. The indicated voltage V1 and…

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Q: In the circuit pictured, the resistors have values of R1 = 125 Ω, R2 = 120 Ω, and R3 = 148 Ω, and…

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Q: 1)The circuit on the right must be solved by reducing it to a single equivalent resistance, R= 32…

A: Given: V=24 V R1=3 ΩR2=5 ΩR3=4 ΩR4=6 Ω A) R2, R3 are connected in parallel Rp=R2×R3R2+R3     =5×45+4…

Q: A 10 V battery is wired in series with an uncharged capacitor, a resistor, and a switch to make an…

A: a. Immediately after the switched is closed t=0.0 ms, capacitor acts a conducting wire. So. the…

Q: You connect a battery, resistor, and capacitor as in (Figure 1), where E = 36.0 V, C = 5.00 μF, and…

A: In the given question, Voltage (ε)  =36V Capacitance (C) = 5μF = 5×10-6F Resistance (R)  =140Ω The…

Q: A 2.00-nF capacitor with an initial charge of 4.28 µC is discharged through a 2.72-kΩ resistor. (a)…

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Q: Why the sum of all currents at any junction is zero Q2 : Why the sum of all vlotages across any loop…

A: THIS QUESTION IS BASED ON LAW OF KIRCHHOFF'S  According to the law of conservation of charge ,…

Q: In the circuit diagram R1 = 5R and R2 = 15R, where R = 14 Ω. The power dissipated in resistor 2 is P…

A: Given Resistance of the resistors are given as R1=5R and R2=15 R, where R=14 Ω Power dissipated in…

Q: 1. A length of wire of resistance Ris connected across a battery with zero internal resistance. The…

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Q: Part C Determine the voltage across 960 N resistor. Express your answer to two significant figures…

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Q: 1. Two resistors with R1= 1500 Ohms and R2= 3500 Ohms are connected in parallel and connected in…

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Q: 9. a. A 5Q resistor is connected to a 20 V D.C. power supply. Calculate the time for 3000 J of…

A: The resistor, R=5 Ω   The voltage, V=20 V   The energy, E=3000 J

Q: The voltage drop from a to b is 82 V. a) Calculate the equivalent resistance of the circuit b) How…

A: voltage drop = V= IR

Q: 4. A) What is the main difference between the ohmic and non-ohmic circuit elements? Draw graphs of I…

A: 4. A. If the circuit elements obeys the ohms law for all the voltage across it is called ohmic…

Q: A 2.00-nF capacitor with an initial charge of 5.57 uC is discharged through a 2.97-kn resistor. (a)…

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Q: 1. Three resistors R, R2, and R3 are connected in series and to a 120-volt source. If R; = 2R1, R3 =…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…