Problem 1: Consider the RC circuit in Figure 1. You may assume that the switch has been closed long enough for the voltages and currents to reach steady-state values. At time t = 0 the switch is opened 0 v(t) Rs i(t) Vs RB RA Figure 1: The switch in the RC circuit is opened at time t 0 Find the voltage v(0 and the current i(0 just before the switch is opened 1. Find the voltage v(0) and the current i(0) immediately after the switch is opened 2 3 Justify your answer in one or two sentences Find the voltage v(oo) and the current i(oo) after the switch has been opened for a very long time. Find a differential equation that describes the response of the voltage v(t) for t 2 0. 4

Question
Problem 1:
Consider the RC circuit in Figure 1. You may assume that the switch has been closed long enough for the voltages
and currents to reach steady-state values. At time t = 0 the switch is opened
0
v(t)
Rs
i(t)
Vs
RB
RA
Figure 1: The switch in the RC circuit is opened at time t 0
Find the voltage v(0
and the current i(0
just before the switch is opened
1.
Find the voltage v(0) and the current i(0) immediately after the switch is opened
2
3
Justify your answer in one or two sentences
Find the voltage v(oo) and the current i(oo) after the switch has been opened for a very long time.
Find a differential equation that describes the response of the voltage v(t) for t 2 0.
4
Expand
Transcribed Image Text

Problem 1: Consider the RC circuit in Figure 1. You may assume that the switch has been closed long enough for the voltages and currents to reach steady-state values. At time t = 0 the switch is opened 0 v(t) Rs i(t) Vs RB RA Figure 1: The switch in the RC circuit is opened at time t 0 Find the voltage v(0 and the current i(0 just before the switch is opened 1. Find the voltage v(0) and the current i(0) immediately after the switch is opened 2 3 Justify your answer in one or two sentences Find the voltage v(oo) and the current i(oo) after the switch has been opened for a very long time. Find a differential equation that describes the response of the voltage v(t) for t 2 0. 4

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Science
Physics

Related Physics Q&A

Find answers to questions asked by students like you.

Q: A spring with spring constant k = 80 N/m has an equilibrium length of 1.00 m. The spring is compress...

A: Click to see the answer

Q: Number 4

A: Click to see the answer

Q: An initially 'compressed' spring (x1 = 0.4m) is observed to compress an additional 0.4 m before stop...

A: Given:Initial compression in the spring = 0.4 mAdditional compression in the spring = 0.4 mFinal com...

Q: Accomplished silver workers in India can pound silver into incredibly thin sheets, as thin as 3.00 x...

A: Click to see the answer

Q: An ant walks on a piece of graph paper straight along the x axis a distance of 10.0 cm in 2.20s. It ...

A: the total vertical distance travelled is ,

Q: Chapter 28, Problem 049 Your answer is partially correct. Try again. The figure shows a rectangular,...

A: Given values:No. of turns, N = 18Area of the coil, A = length x breath = 9.9 cm x 4.0 cm = 39.6 cm2 ...

Q: A container with volume 1.63 L is initially evacuated. Then it is filled with 0.226 g of N2. Assume ...

A: Write the expression for the rms speed (root mean square speed) of the gas molecules.

Q: 13. o Laht aters curved side ot a Semi-cylindrical dish ot water alng a radius hne at an anle of -25...

A: Given:Angle of incidence = 25οRefractive index if water, n = 1.333 

Q: A mass hanging from a vertical spring is somewhat more complicated than a mass attached to a horizon...

A: The free body diagram is,Direction of force = downward

Q: Two charges, one of 2.50μC and the other of -3.50μC, are placed on the x-axis, one at the origin and...

A: Consider the point P on the x axis, where the net force is zero.

Q: (Multiple choice) An electron volt is (explain why that answer is correct): a. the force required to...

A: Joule is the SI unit of energy. However, joule is a large unit for measurements corresponding to ele...

Q: How would I answer part D?

A: Write the expression for the centripetal force.

Q: A watermelon weighs 5.00 lb on Earth. What would it weigh on the Moon, where the free-fall accelerat...

A: Consider the weight of the watermelon on Earth be we, the mass of the watermelon on Earth be me, the...

Q: X Book a Flight: Best Join conversation Course Home X A-Z Databases whitworth Library Pirate Port | ...

A: Consider that the force applied by the person is “F” which causes tension in the string. The situati...

Q: A thin spherical shell of silver has an inner radius of 8.20 x 10-2 m when the temperature is 22.2 °...

A: Given that the radius is r = 8.20×10-2 mInitial temperature is T1 = 22.2˚C and T2 =142˚C

Q: A 6.6 kg object undergoes an acceleration of 4.2 m/s2. What is the magnitude of the resultant force ...

A: From Newton’s second law of motion.

Q: 52. A vector makes an angle 0 with the horizontal. The horizontal and vertical components of the vec...

A: The horizontal component of the vector is given as,

Q: help!

A: a)The tension in vertical cable is,

Q: Catching a wave, a 74.6-kg surfer starts with a speed of 1.18 m/s, drops through a height of 1.80 m,...

A: The initial energy of the surfer is

Q: A small cart with low friction wheels is attached to a sturdy wall with a high quality spring that h...

A: 2.            Velocity of the cart – D

Q: Suppose we want a satellite to revolve around the Earth  5 times a day in a circular orbit. What sho...

A: Given:

Q: The crew on peg leg Petes' ship have mutinied. Now Pete finds himself walking the plank. The plank i...

A: Write an expression for moment about the pivot

Q: If a piece of an airplane suddenly becomes detached during flight, it will crash to Earth. Would it ...

A: Click to see the answer

Q: <HW 19 Dr.Z. recommends problem 1 A spring-loaded toy gun is used to shoot a ball of mass m 1.50 kg ...

A: the potential energy stored by the spring is equal to the potential energy achieved  by the ball.the...

Q: N4T.1 Aweight hangs from a string but is pulled to one side by a horizontal string, as shown. The te...

A: Write the expression for net force acting on the weight in the vertical direction

Q: Find the approximate solid angle for a source-detector arrangement whereby a 5-cm diameterdetector i...

A: Given,

Q: The figure shows a jet engine suspended beneath the wing of an airplane. The weight of the engine is...

A: Given thatThe weight of the engine =10100 N With length L=2.50mthrust of engine =64500NAngle =32.0˚

Q: Part E: calculate the  speed of the ball when it leaves the launching ramp  Part F: with what speed ...

A: Given:Spring constant = kMass of ball = mHeight of table from floor = HSpring compressed up to dista...

Q: (Multiple choice) An electrically charged object creates an electric field. The electric potential d...

A: Given,Electric field due to electric charge.

Q: 5. Find the Kinetic energy when it hits the Earth's surface. (assume no air resistance) Saturn is or...

A: Since we only answer one question, we’ll answer the first one. Please resubmit the question and spec...

Q: The 10 kg mass has a velocity of 13 m/s at position 1 before coming to rest at position 2 a distance...

A: figure shows the given free body diagram.

Q: How do I prove that the transition is successful in problem 7.22?

A: The given wave function is

Q: A student applies a force on a puck equal to the one shown in the figure. If the mass of the puck is...

A: Given,

Q: What is the period for a simple pendulum of length 2m when loaded with a 3kg mass? When loaded with ...

A: Given,

Q: Part D

A: Write the expression for net force in the vertical direction and equate with the Newton’s second law...

Q: Number 1 .

A: Consider a car is moving with velocity(v) in a horizontal curve of the radius(R).

Q: A 1,260-N crate is being pushed across a level floor at a constant speed by a force F of 270 N at an...

A: (a)In this case, the crate moves with constant speed.Friction force is equal to the force in horizon...

Q: An 8.6 kg body undergoes an acceleration of 2.7 m/s2. What is the magnitude of the resultant force a...

A: Given,

Q: Yoyo The figure below shows a crude model of a yoyo. A massless string 4. suspended vertically from ...

A: The total kinetic energy of the body is

Q: Find the tension in the two cords shown in the figure. Neglect the mass of the cords, and assume tha...

A: Click to see the answer

Q: 25. Review. You can think of the work-kinetic energy theorem GP as a second theory of motion, parall...

A: a) Let the mass of the bullet be denoted by m.The initial and final velocity of the bullet be denote...

Q: A system of point charges include q1= +1HC, at x1-1m, y1= 1m, q2= -1 HC at x2= -1, y2 q3= +2 at the ...

A: Total electric potential at point (1 m, 1 m) is,

Q: A car enters a right turn that is 90◦ and part of a circle of radius r. The car exits the turn after...

A: The centripetal acceleration is given by,

Q: What is the magnitude of the magnetic force on a charged particle ( Q = 5.0 p C) moving with a speed...

A: Given:Charge on the particle, Q = 5 uCSpeed of the particle, v = 80 km/sMagnetic field, Bx = 5 TBy =...

Q: A mass hanging from a vertical spring is somewhat more complicated than a mass attached to a horizon...

A: 1.Equilibrium position of the oscillations will be the one where initially the system was at rest th...

Q: magine you are on an amusement park and on a train ride. At some point the train ride follows a hori...

A: Consider the radius of the horizontal circle to be r and centripetal acceleration to be ac­.

Q: - A bag of sugar weighs 1.00 lb on Earth. What would it weigh in newtons on the Moon, where the free...

A: Consider the weight of the bag on Earth be we, the mass of the bag on Earth be me, the weight of the...

Q: Junior throws his mashed potatos onto his mothers lazy susan, which has a moment of inertia of I. If...

A: Using conservation of angular momentum,

Q: The force exerted by the wind on the sails of a sailboat is 410 N north. The water exerts a force of...

A: The mass of the boat is 300kg, and force acting on boat exerted by wind is 410N (north), and force e...

Q: A disk, with a radius of 0.25 m, is to be rotated like a merry-go-round through 800 rad, starting fr...

A: Given information: