1. Given 3 resistors, R1=1, R2=2, R3=3... a. What is the equivalent resistance,

ID: 1698878 • Letter: 1

Question

1. Given 3 resistors, R1=1, R2=2, R3=3...

a. What is the equivalent resistance, if they are connected in series?

Ceq=1+2+3=6 Is this correct??

b.If the 3 series resistors are connected to a 12V battery , what is the current through each resistor?

c. What is the voltage drop across each resistor?

2. Same as part 1 except resistors are in parallel.

a.What is equivalent resistance, if they are connected in parallel?

b.If the 3 parallel resitors are connected to a 12V battery, what is the current through each resistor?

c.What is the voltage drop across each resistor?

if the resistors are in series combination

equivalent resistance is

R _eq = R1 + R2 + R3

= 1 + 2+ 3 = 6

current through each battery is same

V = I R _eq

I = V / R _ eq = 12 / 6 = 2 A

voltage drop across each resistor is

V1 = I R1 = 2*1 = 2 V

V2 = I R2 = 2 * 2 = 4 V

V3 = I R3 = 2 * 3 = 6 V

resistors are in parallel com bination

1 / R _ eq = 1 / R1 + 1 / R2 + 1 / R3

= 1 / 1 + 1 / 2 + 1/3

Req = 0.545

voltage across each resistor is same

current each resistor is

I1 = V / R1 = 12 / 1 = 12 A

I2 = V / R2 = 12 / 2 = 6 A

I3 = V / R2 = 12 / 3 = 4 A

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.