Question: (a) Using Eqs. (30.21) and (30.23) for an L-C circuit, write expressions fur the energy stored in the capacitor as a function of time and

(a) Using Eqs. (30.21) and (30.23) for an L-C circuit, write expressions fur the energy stored in the capacitor as a function of time and for the enetgy stored in the inductor as a function of time.
(b) Using Eq. (30.22) and the trigonometric identity sin2 x + cos2 x = 1, show !hat the total energy in the Ire circuit is constant and equal to Q2/2C.

Step by Step Solution

★★★★★

3.25 Rating (171 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

IDENTIFY q Qcost and iQsin SETUP U 2 ULi 2C EXECUTE a U 210cos wt U ... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

P-E-I (140).docx

120 KBs Word File

Students Have Also Explored These Related Electricity and Magnetism Questions!

In the circuit, the initial energy stored in the capacitor is 25 J. At t = 0 the switch is closed. (a) Sketch a graph of the voltage across the resistor (VR) as a function of t. Label the vertical...

) Consider integer division of one two's-complement binary number by another. Programming languages may vary in the result when one argument is negative. What differing conventions might they be...

The position as a function of time (x(t),y(t)) of a projectile fired with a speed of v0 at an angle a is given by x(t) = v0cosa·t y(t) = v0sinÎ±·t 1/2 gt2 where g = 9.81...

) Explain the collision detection mechanism applied in standard wired medium access control associated with CSMA and indicate why this might be unsuitable for wireless networks. [2 marks] (ii)...

On Joe Martin s graduation from college, Joe s uncle promised him a gift of $ 1 2 , 3 0 0 in cash or $ 8 7 0 every quarter for the next 4 years after graduation. Assume money could be invested at 8 %...

I need help with these questions, thank you. CAPACITORS Theoretical Problems ) You will be charging your capacitors (or combinations of capacitors) using a constant current source; it will generate a...

=+c) Keep the number of runs at 16, but save time by running all the standard detergent runs first to avoid swapping detergents back and forth.

The gear forces shown act in planes parallel to the yz plane. The force on gear A is 300 lbf. Consider the bearings at O and B to be simple supports. For a static analysis and a factor of safety of...

Please answer the question correctly Central Perk, LLC, a manufacturer of coffee beans, is considering switching its operations to an Activity Based Costing system. The following manufacturing...

A researcher has observed 100 shoppers from three different age groups entering a large discount store and noted the nature of the greeting received by the shopper. Given the results shown here, and...

What is meant by shock advertising? Evaluate the arguments for and against the use of shock advertising by marketers.

A tablet cost is $305 + sales Tax. If sales Tax is 9.5% , Find the total price of tablet. b) Jeremy has a bank balance of $47. He writes a check for his utility bill for $89. What is his new balance...

Because of automatic stabilizers, if income increases, government transfer spending (A) increases and tax revenues decrease (B) stays the same and tax revenues decrease (C) stays the same and tax...

What do you think are the root causes of the ethnocentric view? What can you suggest to prevent people from having this characteristic?

Sketch the following curve r = 2+ 4 cos , 0 2

Proper management of supply chain resources can minimize failure. One of the ways for companies to determine supply chain resources is insource. You are asked to analyze the conditions under which...

Give your analysis of markdowns and lost sales then how far will the impact if it occurs on the supply chain on financial performance!

Both IFRS and GAAP allow that if determining the effect of a change in accounting principle is considered impracticable, then a company should report the effect of the change in the period in which...

Global economic downturns are often a catalyst for trade protectionism. As economies shrink, nations have incentives to protect their struggling industries by establishing barriers against imported...

Please answer in the format requested. You wish to test the following claim (H.) at a significance level of o = 0.001. Ho:p = 52.4 Ha:u

please help me with only two questions (pictures of questions uploaded/click and see) X 9.3.67-P Question Help The value obtained for the test statistic, z, in a one-mean z-test is given. Whether the...

Consider the following information: State of Economy Probability of State of Economy Rate of Return if State Occurs Recession .16 .12 Normal .48 .14 Boom .36 .33 Required: Calculate the expected...