Question

Figure (32-E6) shows a part of a circuit. If a current of 12 mA exists in the 5 kΩ resistor, find the currents in the other three resistors. What is the potential difference between the points A and B?
Figure32-E6

Answer 1

The potential difference between two points is 1340 V.

Explanation:

Step 1:

$\begin{aligned}&\mathrm{i}_{1} \times 20=\mathrm{i}_{2} \times 10\\&\Rightarrow \frac{i_{1}}{i_{2}}=\frac{10}{20}=\frac{1}{2}\end{aligned}$

I$_1$ = 4 mA, i$_2$ = 8 mA

Step 2:

Current in 100 kΩ resistor = 12 mA

V= V$_1$ + V$_2$ + V$_3$

=5 X 12+ 10 X 8+ 100 X 12

=60+80+1200 =1340 Volts.

Step 3:

From the above circuit calculations we understood that

R = Resistance of the circuit

V = Voltage drop across the resistor

$I_m_a_x$ = Maximum current flowing in the circuit, happens when the resistance of the circuit is low.

$I_m_i_n$ = minimum current flowing in the circuit, happens when resistance of the circuit is high