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Electrical Engineering · Q27

Circuit Theorems And Conversions

Engineering and GATE · Electrical Engineering · question 27

Q27

A 680 Ω load resistor, RL, is connected across a constant current source of 1.2 A. The internal source resistance, RS, is 12 kΩ. The load current, RL, is

A.
0 A
B.
1.2 A
C.
114 mA
D.
1.14 A
Answer

Answer: Option D

Solution

Answer: Option D
Solution:
The load current is determined by analyzing the circuit and applying Ohm's law and the voltage-divider principle.

Given:

Load resistance, RL = 680 Ω

Internal source resistance, RS = 12 kΩ = 12,000 Ω

Constant current source, IS = 1.2 A

Step 1: Determine the total voltage of the circuit

The total voltage generated by the current source is:

Vtotal = IS × RS = 1.2 A × 12,000 Ω = 14,400 V

Step 2: Calculate the equivalent resistance

The load resistor and internal source resistance form a voltage divider. The voltage across RL is calculated as:

VL = Vtotal × (RL / (RL + RS))

VL = 14,400 × (680 / (680 + 12,000))

VL = 14,400 × (680 / 12,680) = 774 V

Step 3: Find the load current

The load current is:

IL = VL / RL = 774 / 680 = 1.14 A