number 5 5. At the most recent meeting of the physicists who look-to-torture stu

Question

number 5

5. At the most recent meeting of the physicists who look-to-torture students club, there was great discouragement at how the students had solved the evil capacitor network problem. What could be done? A timid voice from the back said, "We could try again with resistors? Yes... resistors! Mwa-ha-ha-ha! Find the equivalent resistanee of the network pictured here, then find the current and potential difference across each resistor. 6. Weekend breakfast! You love waffles, have to have your co and well, bacon because it is bacon! Your coffee pot draws 800 W of power, the waffle iron is rated at 12 W and your frying pan is also drawing 1200 W. All three are into wired on the same household V circuit. Calculate the current in each appliance, and determine whether your breakfast plan will be foiled by a 25-A circuit breaker.

Explanation / Answer

2 ohm resistors are in parallel hence equivalent of this is R

then 1/R = 1/2 + 1/2

R =1 ohm

now R and 3 ohm are in series. R' = R + 3 = 4 ohm

now R' and 4 ohm are in parallel.

1/R" = 1/R' + 1/4 = 1/4 + 1/4

R" = 2 ohm

now R" and 7 ohm are in series.

Req = R" + 7 =2 + 7 = 9 ohm .........Ans

current through battery = V/Req = 9/9 = 1 A

current through 7 ohm = 1 A

PD = IR = 1 x 7 = 7 volt

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PD across 4 ohm = 9 - 7 = 2 volt

current through 4 ohm = 2/4 = 0.5 A

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current through 3 ohm = 0.5 A

PD = 0.5 x 3 = 1.5 V

--------------------

PD across 2 ohm = 2 - 1.5 = 0.5 volt

current = 0.5/2 = 0.25 A

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