4. You need a 75 ohm resistor in place for your circuit. However, you only have

Question

4. You need a 75 ohm resistor in place for your circuit. However, you only have 50 ohm resistors and 100 ohm resistors. a. (12 points) Draw a combination of three of the resistors you have available that produces an equivalent resistance of 75 ohm. (Any combination of 50 ohm and 100 ohm resistors that will do this.) b. (14 points) Draw a combination of four of the resistors you have available that produces an equivalent resistance of 75 ohm. (Any combination of 50 ohm and 100 ohm resistors that will do this.)

Explanation / Answer

a)
let

R1=50 ohms

R2=50 ohms

R3=50 ohms

R12=R1*R2/(R1+R2).....paralell combination of R1 and R2

=50*50/50+50

=25 ohm

now

R123=R12+R3 ......series combination of R12 and R3

=25+50

=75 ohm .....is answer

b)

let

R1=50 ohms

R2=50 ohms

R3=100 ohms

R4=100 ohms

R12=R12=R1*R2/(R1+R2).....paralell combination of R1 and R2

=50*50/50+50

=25 ohm

and

R34=R3*R4/(R3+R4).....paralell combination of R3 and R4

=100*100/(100+100)

=50 ohm

now

R1234=R12+R34 ........series combination of R12 and R34

=25+50

=75 ohms ....is answer

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