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(a) What is the characteristic time constant of a 25.0 $\mathrm{mH}$ inductor that has a resistance of 4.00$\Omega ?(\mathrm{b})$ If it it it connected to a 12.0 $\mathrm{V}$ battery, what is the current after 12.5 $\mathrm{ms} ?$

2$\cdot 59$

Physics 102 Electricity and Magnetism

Chapter 23

Electromagnetic Induction, AC Circuits, and Electrical Technologies

Electromagnetic Induction

Rutuja M.

July 3, 2021

(a) Two microwave frequencies are authorized for use in microwave ovens: 900 and 2560 MHz. Calculate the wavelength of each. (b) Which frequency would produce smaller hot spots in foods due to interference effects?

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Lectures

03:27

Electromagnetic induction …

07:07

In physics, electromotive …

01:19

A $12.0-\mathrm{V}$ batter…

04:17

The 5.00 A current through…

01:13

Your $R L$ circuit has a c…

04:39

An inductor with an induct…

03:57

An inductor that has an in…

04:30

05:43

06:45

A 25.0 -mH inductor, with …

06:44

A $140-\mathrm{mH}$ induct…

04:01

A $10.0-\mathrm{mH}$ induc…

02:37

A 510 -turn solenoid has a…

04:40

M A 140 -mH inductor and a…

04:49

A $12.0 \mathrm{~V}$ dc ba…

02:14

03:10

An inductor is connected t…

05:22

03:49

02:54

An $R L$ circuit in which …

03:00

A 4.00 -M\Omega resistor a…

09:25

A 40.0 -mH inductor, with …

So for party the time constant Tao would be equaling the induct inst divided by the resistance. And so this would be 25. Bill Henry's Miller Henry's 25 times, 10 to the negative Third, Henry's divided by the resistance of four thumbs and we find that the time Constant Tao is equaling 6.25 times 10 to the negative third seconds. This would be your answer for party four part B. Now we know that the initial current would be equaling the voltage over the resistance and this is gonna be equaling two 12 volts over four arms and this is giving us three amps. And so we can then say that Ah, I The growth of the current essentially would be equaling the initial current multiplied by one minus the exponential function of the negative time divided by the time Constant Tao and so we can solve. We know that then four part be the current. I would be equaling the initial current, which we found to be three amps multiplied by one minus the exponential function of negative 12.5 milliseconds divided by 6.25 milliseconds. And we find that I is giving us 2.59 amps. This would be our final answer. That is the end of the solution. Thank you.

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