Consider the circuit shown in the figure below. (Assume R1 = 12.0 ohm, R2 = 3.85
ID: 1386123 • Letter: C
Question
Consider the circuit shown in the figure below. (Assume R1 = 12.0 ohm, R2 = 3.85 ohm, and V = 7.40 V.) (a) Calculate the equivalent resistance of the R1 and 5.00-ohm resistors connected in parallel. ohm (b) Using the result of part (a), calculate the combined resistance of the R1, 5.00-ohm and 4.00-ohm resistors. ohm (c) Calculate the equivalent resistance of the combined resistance found in part (b) and the parallel 3.00-ohm resistor. ohm (d) Combine the equivalent resistance found in part (c) with the R2 resistor. ohm (e) Calculate the total current in the circuit.Explanation / Answer
a)
R1=12ohms
12ohms is connected in parllel with 5ohms
FORMULA FOR PARLLEL CONNECTED TWO RESISTORS
=R1*R2/(R1+R2)
=12*5/17
=3.52ohms
b)
4ohms is connected in series with above combination then resultant resistance is
=3.52+4
=7.52ohms
c)
7.52 is connected in parllel to 3 ohms
=7.52*3/10.52
=2.144ohms
d)
2.144ohms is connected in series R2 then resultant resistance is
=2.144+3.85
=5.99ohms
e)
I=V/Req
=7.4/5.99
=1.235A