Suppose the emf of the battery in the circuit varies with time t so that the current is given by i(t) 3.0 + 5.0t, where i is in amperes and t is in seconds.Take R = 4.0 ohm and L = 6.0 H, and find an expression for the battery emf as a function of t. (Hint: Apply the loop rule.)

Suppose the emf of the battery in the circuit varies with time t so that the current is given by i(t) 3.0 + 5.0t, where i is in amperes and t is in seconds.Take R = 4.0 ohm and L = 6.0 H, and find an expression for the battery emf as a function of t. (Hint: Apply the loop rule.)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter21: Current And Direct Current Circuits

Section: Chapter Questions

Problem 67P: The values of the components in a simple series RC circuit containing a switch (Fig. P21.53) are C =...

See similar textbooks

Related questions

Q: A circuit is constructed with four resistors, one capacitor, one battery and a switch as shown. The…

Q: Consider a series RC circuit as in Figure below for which R =4.0 M2, C=6.0 µF, and ɛ=31.6 V. Find…

A: The time constant of a series RC circuit is given as τ=RCτ=4×106 Ω6×10-6 Fτ=24 s According to…

Q: Given a single loop circuit with emfs E1 = 9.07V, E2 = 0.29V, resistors R1 = 7.70, R2 = 8.892, all…

A: Ans:- Image-1

Q: For the circuit shown below, the power factor at the source is R1 R3 E R312 N 20 V O a. Greater than…

A: In the circuit we have to find the value of power factor

Q: A d.c. generator delivers current at 220 V, but owing to resistance of the cable leads, the…

Q: In the accompanying figure, the rails, connecting end pieces, and rod all have a resistance per unit…

Q: Consider a series RC circuit as in Figure below for which R =6.7 MQ, C=5.3 µF, and ɛ=30.0 V. Find…

A: The given values are, R=6.7 MΩC=5.3 μFε=30.0 V

Q: Suppose a power supply has an emf of 22 Volt and an internal resistance of 3 Ohm. The total maximum…

A: Given Emf = 22 volts =V Internal resistance = 3 ohm =r Total power delivered in the circuit Let…

Q: In the figure below, let R = 7.00 n, L = 2.30 mH, and C = 1.65 µF. a S (a) Calculate the frequency…

A: we know that

Q: In the above circuit, R, = 102, R2 = 402, R3 = 302, R4 = 200, R5 = 602. The battery voltage is 12V.…

A: Ans:- Image-1

Q: In an RC series circuit, emf= 12.0 V, R = 1.40 MN, and C = 1.80 µF. How long does it take for the…

Q: The generator has s negligible internal resistance and an e.m.f of 12 V. The resistor R2= 200 Q. The…

Q: For the circuit shown below, € = 17V, L = 8mH, and R = 50. After steady state is reached with S₁…

A: Equation of current through inductor I = 3.4 e-Rt/L = 3.4 e(-5t/8×10^-3) Now, rate of change of…

Q: A. B. C. D. The current I, in amperes, flowing through an alternating circuit, at a time of t…

A: Given:- Current through the alternating circuit is I=30 sin(bt) Period of the function is T=125 s

Q: For the parallel circuit given, compute for the dissipated power for R3 A 24.6 Watts B. 38.6 Watts…

A: Given data: Three resistors are connected in parallel combination R1 = 22 Ω R2 = 10 Ω R3 = 5 Ω…

Q: Consider a series RC circuit as in Figure below for which R =4.5 MQ, C=6.9 µF, and ɛ=30.0 V. Find…

Q: A charged capacitor of C=39.0 µF is connected to a resistor of R=2.8 MN as shown in the figure. The…

A: Given: Resistance, R = 2.8 MOhm Capacitance, C = 39μF

Q: Consider a series RC circuit for which R = 2.00 M2, C = 3.00 µF, and ɛ = 30.0 V. Find the time…

A: Resistance of the circuit, Capacitance of the circuit, The time constant for an RC circuit can…

Q: - given - reasoning - steps - reflection

A: Given data: The capacitor voltage is, V= 80 V The capacitance of the capacitor is, C= 22 μF…

Q: For the given circuit, the maximum power transferred to the load resistance (in mw) is: A R = 2002…

Q: (06): The current I (in A) in the shown circuit when the power dissipated through RL is maximum…

Q: Using the following circuit find the values of the two EMF sources (i.e., ɛ1 and ɛ2)? 1.00 A 1.000…

Q: For the circuit shown, the switch Sis opened and steady state conditions is achieved. Take R=4.0 0,…

Q: Consider a series RC circuit as in Figure below for which R =4.0 MQ, C=6.0 µF, and ɛ=29.8 V. Find…

A: The time constant of an RC circuit can be calculated by multiplying the resistance and the…

Q: In an RLC circuit, L=0.1 H, R=0.6; C=0.4F; and E(t)=60 V. Find the charge at time t. Assume the…

Q: For the given circuit below, the power dissipated in the 10 ohm resistor is 20.0 V,2.000 4.000 10.0…

Q: In the circuit of the figure below, the switch S has been open for a long time. It is then suddenly…

Q: Consider the circuit shown in the figure. S 7.20 (a) What is the current, in amperes, on the 7.2N…

A: since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Suppose the emf of the battery in the circuit shown in the figure varies with time t so that the…

A: i (t) = 2.5 + 6 t R = 4.5 ohm L = 4 H Emf = L d(i(t))/dt Emf = L d(2.5 + 6t)/dt Emf = L (6) Emf = 4…

Q: For the circuit shown in the figure, the switch S is initially open and the capacitor voltage is 80…

A: When the switch S is closed, charge stored in capacitor flows out in the circuit as current. Charge…

Q: The opposite graph represents the relation between the potential difference (V) and the current…

A: Given the graph between V and I to find:) conductor with highest resistance

Q: A charged capacitor of C=67.0 µF is connected to a resistor of R=2.8 MQ as shown in the figure. The…

Q: Consider a series RC circuit as in Figure below for which R =5.2 MQ, C=3.2 µF, and ɛ=30.0 V. Find…

A: Given data: Resistance,R = 5.2MΩ = 5.2 × 106 Ω Capacitance,C=3. 2 μF = 3.2 x 10-6 F Voltage ε = 30…

Q: Consider a series RC circuit as in Figure below for which R =5.2 MQ, C=3.2 µF, and ɛ=30. V. Find the…

Q: In the accompanying figure, the rails, connecting end piece, and rod all have a resistance per unit…

A: The resistance per unit length, r = 2 Ω/cm. The velocity of the rod, v = 3 m/s. The magnetic…

Q: For the circuit shown below, ɛ = 21 V, L = 4.5 mH, and R = 4N. After steady state is reached with Si…

Q: For the circuit shown below, ε=22 V, L=7.5 mH, and R=6Ω. After steady state is reached with S1…

Q: In the accompanying figure, the rails, connecting end pieces, and rod all have a resistance per unit…

Q: Suppose a power supply has an emf of 60 Volt and an internal resistance of 20 Ohm. The maximum power…

A: Given : Emf = 60 Volt Internal resistance = 20 Ω Let external resistance = R

Q: Consider a series RC circuit as in Figure below for which R =3.6 MO, C=4.3 µF, and ɛ=30.0 V. Find…

A: Given: The resistance of the circuit is 3.6 MΩ. The capacitance of the circuit is 4.3 μF. The supply…

Q: b) For the circuit shown below, R1 = 72, R2 = 3N, R3 = 22, R4 = 40 and the battery voltage is 18V.…

A: Note- Bartleby's guidelines allowing answer only the first three subparts.

Q: For the given circuit, the maximum power transferred to the load resistance (in mW) is: A R = 2002…

A: Write the expression for the maximum power transferred to the load resistance according to the…

Q: Consider a series RC circuit as in Figure below for which R =2.7 MQ, C=2.7 µF, and ɛ=30.0 V. Find…

Q: For the given circuit below, the power dissipated in the 10 V emf is 20.0 V,2.000 4.000 10.0…

Q: Consider a series RC circuit as in Figure below for which R =4.0 MQ, C=6.0 µF, and ɛ=32.9 V. Find…

A: Given that For given RC circuit Resistance of resistor R = 4 MΩ Capacitance of capacitor C = 6 μF…

Question

Suppose the emf of the battery in the circuit varies with time t so that the current is given by i(t)
3.0 + 5.0t, where i is in amperes and t is in seconds.Take R = 4.0 ohm
and L = 6.0 H, and find an expression for the battery emf as a
function of t. (Hint: Apply the loop rule.)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

With the switch in the circuit of Figure 21.18a open, there is no current in R2. There is current in R1, however, and it is measured with the ammeter at the right side of the circuit. If the switch is closed (Fig. 21.18b), there is current in R2. What happens to the reading on the ammeter when the switch is closed? (a) The reading increases. (b) The reading decreases. (c) The reading does not change.
The values of the components in a simple series RC circuit containing a switch (Fig. P21.53) are C = 1.00 F, R = 2.00 106 , and = 10.0 V. At the instant 10.0 s after the switch is closed, calculate (a) the charge on the capacitor, (b) the current in the resistor, (c) the rate at which energy is being stored in the capacitor, and (d) the rate at which energy is being delivered by the battery.
Suppose the emf of the battery in the circuit shown in the figure varies with time t so that the current is given by i(t) = 2.50 + 6.00t, where i is in amperes and t is in seconds. Take R = 4.50 Ω and L = 4.00 H, and find the emf required of the battery at t = 6.00 s.
A loop circuit has a resistance of R1 and a current of 1.9 A. The current is reduced to1.6 A when an additional 4.8 Ω resistor isadded in series with R1.What is the value of R1? Assume the internal resistance of the source of emf is zero.Answer in units of Ω.
A potentiometer consisting of a wire of length = 10 cm has a source of emf, ɛ = 15V connected across it. When a standard cell with emf V = 6V, in series with a voltmeter, is connected at one end of the wire and at a distance L along the wire the voltmeter circuit is in balance and the voltmeter reads zero. What is the value of the balance length L? Select one: a. 2.0 cm b. 4.0 cm c. 1.5 cm d. 6.0 cm
In the accompanying figure, the rails, connecting end piece, and rod all have a resistance per unit length of 2.0 Ω/cm. The rod moves to the left at v = 3.0 m/s. If B = 0.75 T everywhere in the region, what is the current in the circuit (a) when a = 8.0 cm? (b) when a = 5.0 cm? Specify also the sense of the current flow.
Consider a series RC circuit for which R = 1.00 MΩ, C = 5.00 μF, and ε = 30.0 V. Find (a) the time constant of the circuit and (b) the maximum charge on the capacitor after the switch is closed. (c) Find the current in the resistor 10.0 s after the switch is closed.
In an RLC circuit, L=0.1 H, R=0.6; C=0.4F; and E(t)=60 V. Find the charge at time t. Assume the initial charge on the capaciter is 0C and the initial current is 7.5.
In the figure below, let R = 7.00 Ω, L = 2.30 mH, and C = 1.65 µF. The circuit is a rectangular loop with a vertical wire in the middle that extends from the bottom side of the loop to almost reach the top side, ending at point b below the top side. The left side contains a battery of emf ℰ with the positive terminal above the negative terminal. The right side contains a capacitor C. The top side, from left to right, contains point a and a switch S in contact with point a. The vertical wire contains, from top to bottom, point b, an inductor L, and a resistor R. (a) Calculate the frequency of the damped oscillation of the circuit when the switch is thrown to position b. kHz(b) What is the critical resistance for damped oscillations? Ω
When the switch S is open, the voltmeter V of the battery reads 3.05 V. When the switch is closed, the voltmeter reading drops to 2.88 V, and the ammeter A reads 1.57 A. Find the (a) emf, (b) internal resistance r of the battery, and (c) circuit resistance R. Assume that the two meters are ideal, so they don’t affect the circuit.
An ideal battery has an emf of 150V on the left side and a second emf on the right side of 50V. If R1 is 3Ω and R2 is 2Ω what is the current in the circuit and which direction does it go?
For the circuit shown in the figure, I = 0.50 A and R = 12 Ω. What is the value of the emf ε? I believe it has to do with Kirchhoff's Rules but am not sure how to apply it.