Question: (a) The voltage across a 10-F capacitor is 25sin 2000tutV. Derive an expression for the current through the capacitor. (b) At t = 0 the

(a) The voltage across a 10-μF capacitor is 25½sin 2000tuðtÞV. Derive an expression for the current through the capacitor.

(b) At t = 0 the voltage across a 100-pF capacitor is −5 V. The current through the capacitor is 10 u t ð Þ−u t−10−4   

μA. What is the voltage across the capacitor for t >0?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Systems Analysis And Design Questions!

Q:

Find the transfer function, G(s) = X(s)/E a (s), for the system shown in Figure P2.33. + e(n Motor N = 10 J= 1 kg-m? 3 D=1 N-m-s/rad N2 = 20 Radius = 2 m Ideal gear 1:1 M=I'kg For the motor: J. =1...

Q:

Please solve 7 and 8 The voltage across a 1 0 F capacitor is v ( t ) = 5 0 s i n ( 3 , 0 0 0 t ) V . What is the current i c ( t ) through the capacitor? ( * See Example 6 . 2 in the book for hints )...

Q:

Question 1. Sketch the waveform of the inductor voltage vL[t]. Employ the small ripple approximation to derive an expression for the dc component of the inductor voltage, as a function of the duty...

Q:

Example 1: A triangular voltage with waveform defined as follows: V=0 at t = 0,V = 50 at t= 1s, V= 0 at t = 2,V = -50 at t = 3, and V= 0 at = 4 is applied to the terminals of e 200pF capacitor....

Q:

the result. Section 6 . 2 6 . 1 3 The expressions for voltage, power, and energy derived in Example 6 . 5 involved both integration and manipulation of algebraic expressions. As an engineer, you...

Q:

Calculate the charge stored on a 3-pF capacitor with 20V across it. Determine the amount of energy stored in the capacitor. Example 2: Find the voltage across a 3-pF capacitor if the charge on one...

Q:

( b ) A 3 3 mF capacitor is charged by a 2 4 V battery. i ) How much charge is build up across its plates? ii ) If the capacitor has a temperature coefficient or p p m of - 1 8 0 p p m C , what is...

Q:

You connect a battery, resistor, and capacitor as in (Figure 1), where E = 56.0 V, C = 5.00? F, and R = 140? The switch S is closed at t = 0. a) When the voltage across the capacitor is 8.00 V, what...

Q:

( b ) If a 1 5 0 mF capacitor has a temperature coefficient or ppm of - 2 0 0 p p m C , what is the capacitance it the capacitor if the temperature increases by 2 0 C . ( 5 marks ) ( c ) How much...

Q:

The circuit which was at position a for a long time is suddenly switched to position bat time t=0. Here, R=405 2, C=4.0e-06 F, Vb=2.05V. b a R V C 8a Choose all statements that are TRUE. In the...

Q:

Please answer all questions in the lab. For pages 1, 4, and 5. The chart on page 4 provides the information you need. Thank you. Phys 3B - E&M AC Circuits Experiment 8: Resonance in RLC Resonance In...

Q:

Why are insurance contracts viewed as contracts of adhesion? If an insurer issues a contract that includes ambiguities that an insured challenges in court, how will the courts view the case?

Q:

Anita has to develop a software project. As she is new, she doesnt have much knowledge about scheduling principles i.e. how to schedule a project. So, for scheduling a project, what principles she...

Q:

What is the final value stored in VALUE and register x ? x = $ 4 2 0 C VALUE = 7

Q:

Give an example of a program that will cause a branch penalty in the three-segment pipeline of Sec. 9-5. Example: Three-Segment Instruction Pipeline A typical set of instructions for a RISC processor...

Q:

Design a circuit to realize the following transfer function image in two ways: (a) As a passive circuit using only resistors, capacitors, and inductors with \(L \leq 50 \mathrm{mH}\). (b) Using only...

Q:

Design a circuit to realize the transfer function below using only resistors, capacitors, and OP AMPs. Scale the circuit so that all resistors are greater than \(10 \mathrm{k} \Omega\) and all...

Q:

Your employer needs a circuit that meets specific criteria. It must meet the following transfer characteristics: All capacitors must be exactly \(0.1 \mu \mathrm{F}\) and resistors greater than 1...

Q:

3: What might the hotel do to ensure that other customers do not have the same experience? Arnold Jackson owned a large sheep farm in New Zealand. After listening to a presentation by a Canadian...

Q:

Self-Study Problem 3.1 Teri Kataoka is self-employed as a professional golf instructor. She uses the cash method of accounting and her Social Security number is 466-47-8833. Her principal business...

Q:

ABC Company has $100,000 of goods ready for sale to its customers, but its total inventory value is $120,000. Explain why these two numbers are different from each other. The company also has $20,000...