Consider the circuit shown in the figure below. (Assume R 1 = 16.0 ? and R 2 = 7

Question

Consider the circuit shown in the figure below. (Assume R1 = 16.0 ? and R2 = 7.00 ?.)

(a) Find the potential difference between points a and b.

Consider the circuit shown in the figure below. (Assume R1-16.0 and R2 7.00 .) 25.0 V R2 20.0 4.67 (a) Find the potential difference between points a and b. Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake n your calculation carry out al intermediate results to at least four-digit accuracy to minimize roundoff error. V (b) Find the current in the 20.0- resistor. 195 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. A

Explanation / Answer

From the given figure we can say that

R2 and 20ohm are in series than the total resistance is given by

Req1 =R2+20ohm =7+20=27ohm

Now Req1 and R2 and R1 are in parallel than the equivalent resitance is given by

1/Req2 =1/Req1+1/R2+1/R1

           =1/27+1/7+1/16

1/Req2 =0.0370+0.1428+0.0625=0.2423

Req2 =4.127ohm

Now Req2 and R1 are in series than the total equivalent resistance is given by

Req =Req2+R1 =4.127+16 =20.127ohm

Now the total current passing througth the circuit is given by

V =IR

I =V/Req =25V/20.127 =1.242A

We know that R1 and Req2 are in parallel then the voltage remains the same. Therefore the potential difference across the points a and b is V ba=25V

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