Three resistors are connected as shown in the figure. Through the resistor 5 ohms, a constant current of 1 ampere is flowing.
a. What is the current through the other two resistors?
b. What is the potential difference across AB and across AC?
c. What is the total resistance?
a. V across point BC = ?
I = 1 A
Rp = 6 ohm [derived in c. below]
So V = IR
= 6A × 1Ω
V = 6 ohm
I1 =
I1 =
I1 = 0.6 A
Similarly I2 =
I2 =
I2 = 0.4 A
b. I = 1 A
R = 5 ohm
So V across AB = ?
We know V = IR
V = 5A × 1Ω
V = 5 V
V across AC = ?
Total R = 11 ohm [derive in c. below]
V = 1 × 11
V = 11 V
c. Total resistance = ?
Resistors R1 and R2 are in parallel
So
Rp = 6 ohm
Total R = 5 ohm + 6 ohm
R = 11 ohm