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The current in 100 watt lightbulb is 0.710 A The filament inside the bulb 280 mm diameterPart AWhat is the current density in the filament? Express your answer to t...

Question

The current in 100 watt lightbulb is 0.710 A The filament inside the bulb 280 mm diameterPart AWhat is the current density in the filament? Express your answer to three significant figures and include the appropriate units:ValueUnitsSubmitRequest AnswerPart BWhat is the lectron current in the filament?Express your answer using three significant figures_electrons secunSubmitRequest AnswerAEQ

The current in 100 watt lightbulb is 0.710 A The filament inside the bulb 280 mm diameter Part A What is the current density in the filament? Express your answer to three significant figures and include the appropriate units: Value Units Submit Request Answer Part B What is the lectron current in the filament? Express your answer using three significant figures_ electrons secun Submit Request Answer AEQ



Answers

The current in a 100 watt light-bulb is 0.85 A. The filament inside the bulb is 0.25 mm in diameter. a. What is the current density in the filament? b. What is the electron current in the filament?

We know that the current in the wire, we're quite I don't you is equal to the current density in the water, most like by the area off the wire, and the kind of density we have given is 4.5 times 10 to the five, and that's M sportswear needs a area off the White House is pie multiplied by 1/2 diameter, which is hard square. One point diameter is 1.5 instant to the minus three. Notice that's arm, so that's also quit. And this gives us it current zero 0.7 nine Why and piers? But the current is continuous, so the current in the wire is the same of the current in the filament. So the current in the wire is equal to the current flowing to the filament, and hence we can calculate because of density flowing through the filament kind of dense team. For the myth, J. F. It's simply the current development I divided by its area. Yeah, and again we know these values. So we couldn't is 0.95 MPs from above. In the area is pie and the radius squared and the radius is 1/2 0.12 times 10 to the minus three meters Squid. On doing the calculation, we get the current density filament to be seven times 10 to the lowest seven EMS. Me too squid.

So current density is current, divided by the cross sectional area and cross sectional area is just by the square divided by four. So this gives me 0.833 times four divided by pi times 0.0 If I but back 1000 square and doing the math, this gives me 420 amps per millimeters square. So this is the current density in the filament, and we can do something similar for the second part is well, g equals I over a This is I over I times four divided by Pi d Square. So that's gives me 0.833 times before divided by pi times 2.1 divided by 1000 square and this gives me 0.24 for millimeters square as the current density.

The maximum value of current enable Clematis given us 0.909 am pair and its resistance is 1 82 0 and they're asked to calculate the Artemus value of current Adam Israeli of GMO and the power. And in order to calculate the Aramis value of current, we know that I armas is equal to 0.707 times maximum value of current, which is equal to 0.7 zeros. Seven into the Given Got it set up line Sally, you little survey into a single point nine Seattle night which is equal to zero point 643 AM prayer. This is the Artemus value off current on. The next thing we have to calculate is Ademas value off e m of it is equal to we are. Thomas is equal to I Ademas times the sisters so we can use the Ademas value we have already found. It is equal to zero point 643 times 1 82 which is equal to 11 6.96 This can be approximated to 117 and it's unit this wards on. The last thing we have to calculate is the power and we know that power is equal to I Adama squared and do art. It is that assistance. So Paul can be equal to 0.643 school oil into why nated is the resistance. So this is equal. Do 75 Sunny The sequel toe 75.2 on the unit is what?

Given Current is equal to one in piers residences equal toe 150 point do a home. Then power is equal to We know that I square are, which would be equal to 150 point Do what and the voltage with we call toe is bio hamza ir. She's got 150 point two words and were given length physical to eight centimeters, which is good 0.8 m and various equal to 0.9 millimeters, which is good to 0.9 multiple. I think for my next 3 m the first part, first of all, we'll find area which is equal to two pi r l, which is going to buy into artists 0.9 particular thanks for ministry and l is 0.0. It we get area is the goto 4.5 to cross stinky power minus 4 m square are there now we will find pointing with which is a good to pressure during by area. So the power do it. We have no pressure. We have power is equal to 150.2 when the area is 4.5 to multiple our thanks for minus 4 m square. When we solve this, we get contributor is good too. 331.5 kilowatt where we're square And this election is once readily inward, really inward. In the second part, we will find electric seed in America. The battlefield is equal to you know I divided by to buy our well certainly will use, you know, into I is equal to one. You know, the constant and to buy is a constant, you know they will do 0.9 multiple er I think for minus three when we saw it, we get the physical toe 222 Micro Testa, which is the first answer The second part of the question And in order to find electric field, we know that practical is radiant off potential which is equal toe delta waves. But I r and the Texas Goto l So we will succeed. The value is 150.2 divided by 0.8 m. When we solve this, we get easy Equal toe 18 seven five 1875 works where we just This is the electric from strength, which is this second answer


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