Question

In: Physics

Q1/ The current in an RL circuit builds up to one-third of its steady-state value in...

Q1/ The current in an RL circuit builds up to one-third of its steady-state value in 6.25 s. Find the inductive time constant.

Q2/ A coil is connected in series with a 14.3 kΩ resistor. An ideal 48.4 V battery is applied across the two devices, and the current reaches a value of 2.37 mA after 4.78 ms. (a) Find the inductance of the coil. (b) How much energy is stored in the coil at this same moment?

Solutions

Expert Solution

SOLUTION:

Q-1)

t= 6.25 s

Lets the inductive time constant.=

we know that

  

ANSWER = 15.41 s

Q2)

a) R =14.3 =14.3*103

V= 48.4 V

I= 2.37 mA =2.37*10-3 A

t = 4.78*10-3 s

we know the formula of

then L=  the inductance of the coil.

we're applying this inductance formula

    the inductance of the coil. IS = 56.74 H

AND  

b) The energy is stored in the coil at this same moment E

OR   


Related Solutions

The current in an RL circuit drops from 0.89 A to 12 mA in the first...
The current in an RL circuit drops from 0.89 A to 12 mA in the first second following removal of the battery from the circuit. If L is 13 H, find the resistance R in the circuit.
design and draw the circuit of RL HPF, find the required value of the inductor to...
design and draw the circuit of RL HPF, find the required value of the inductor to get critical Frequency F,r=20KHz, assume the resistor R=(100ohms) and the input Vrms=10V MULTISIM
For a classroom demonstration, a professor built an RL circuit similar to the one shown in...
For a classroom demonstration, a professor built an RL circuit similar to the one shown in the figure, with e m f = 6.00 V, L = 5.80 mH, and R = 3.80 Ω. A rectangular circuit contains a battery of emf ℰ on its left side, with the positive terminal above the negative terminal. An open switch S is on the top side, an inductor L is on the right side, and a resistor R is on the bottom...
What are the general steps for sinusoidal steady state analysis of a circuit? Is there a...
What are the general steps for sinusoidal steady state analysis of a circuit? Is there a way to generalize the procedure?
Find the steady-state current ip(t) in an LRC-series circuit when L = 1 2 h, R...
Find the steady-state current ip(t) in an LRC-series circuit when L = 1 2 h, R = 20 Ω, C = 0.001 f, and E(t) = 100 sin(60t) + 200 cos(40t) V. ip(t)
Find the steady-state current ip(t) in an LRC-series circuit when L = 1/2 h, R =...
Find the steady-state current ip(t) in an LRC-series circuit when L = 1/2 h, R = 20 Ω, C = 0.001 f, and E(t) = 100 sin(60t) + 300 cos(40t) V.
Claudia is trying to design an RC circuit to produce a steady state amplitude of 0.5...
Claudia is trying to design an RC circuit to produce a steady state amplitude of 0.5 volts when supplied with a periodic driving force of E(t) = cos(2t) volts. She is allowed to choose the resistance and capacitance and hence, the time constant τ = RC of the circuit. Find the general solution for the voltage across the capacitor in this RC circuit and identify the steady state part of your solution. Note that your solution should depend on τ.
One RL series circuit contains the resistor R1= 2 Ω and inductor L = 10 H....
One RL series circuit contains the resistor R1= 2 Ω and inductor L = 10 H. (i) Write the first order differential equation for this circuit in time constant form. (ii) Determine the time constant for this system (iii) Calculate the steady state gain of the system. (iv) Determine the time constant and steady state gain when the inductance is doubled (v) In the context of positioning of poles on the S-plane, what does the ‘real part’ represent and what...
come up with a solow growth model steady state equation for an economy where there is...
come up with a solow growth model steady state equation for an economy where there is population growth and also a lump-sum tax which is put onto all individuals
Gamma Construction Company builds and furnishes hotels for third parties. Some of its largest clients include...
Gamma Construction Company builds and furnishes hotels for third parties. Some of its largest clients include the Helton and Sheradon Corporations. While its construction projects take place throughout the world, its project accounting is centralized in one location. This requires fairly sophisticated accounting information technology systems. For example, to purchase materials for a project, a project supervisor enters a purchase requisition (PR) electronically at the job site. The PR includes a description of the item(s) to be purchased, the vendor...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT