Question

In: Physics

  A 63.0-? resistor is connected in parallel with a 115.0-? resistor. This parallel group is connected...

  A 63.0-? resistor is connected in parallel with a 115.0-? resistor. This parallel group is connected in series with a 17.0-? resistor. The total combination is connected across a 15.0-V battery.

(a) Find the current in the 115.0-? resistor.
A

(b) Find the power dissipated in the 115.0-? resistor.
W

Solutions

Expert Solution

similar one but with different values helped for the other guy sorry for the inconvenience any doubts ping me

First, find the equivelent resistance of the 63 and 119 ohm resistors, or...

63||119 = 41.2 ohms

Now, find the equivelent resistance of this and the 15 ohm resistor, or...

41.2 + 15 = 56.2 ohms

Next, find the current through from the battery, or ...

I = V/R = 15/56.2
I = 0.267 A

This current flows through the 15 ohm resistor, and a part of it flows through each of the parallel resistors. To find the current in the parallel resistor, you use a "Current Divider", or ..

First the current in the 63 ohm resistor, or ...

I(63) = 0.267*[119/(63+119)]
I(63) = =0.1745 Amps

To find the current in the other resistor, you can either set up a "Current Divider" for that one, or just subtract what you just calculated from the total. I will use the current divider, or ...

I(119) = 0.267*[63/(63+119)]
I(119) = 0.0925 Amps


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