Q. 213.9( 17 Votes )

Determine the current drawn from a 12V supply with internal resistance 0.5Ω by the infinite network shown in Fig. 3.32. Each resistor has 1Ω resistance.


Answer :

The resistance of each resistor connected in the given circuit, R = 1 Ω

Equivalent resistance of the given circuit = R’


The network is infinite. Hence, equivalent resistance is given by the relation,


R’ = 2 + (R’/R’ + 1)


or R’2 -2R’ -2 = 0


On solving R’ = (2+√4+8)/2


(Negative value of R’ cannot be accepted)


R’ = 1 + √3 Ω


R’ = 1 + 1.73 = 2.73 Ω


Internal resistance of the circuit, r = 0.5 Ω


Hence, total resistance of the given circuit = 2.73 + 0.5 = 3.23 Ω


Supply voltage, V = 12 V


According to Ω ’s Law, current drawn from the source is given by the ratio, = 12/3.23 = 3.72 A


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Ohm's Law - Full Concept in one Go59 mins
Know about Internal Resistance & EMF42 mins
Interactive Quiz on Ohm's law & Drift + Thermal VelocityFREE Class
Interactive Quiz on Current Electricity46 mins
Quick Revision of Current Electricity68 mins
Quiz | Wheatstone BridgeFREE Class
Quiz | Drift Velocity & Thermal VelocityFREE Class
Drift Velocity & Thermal VelocityFREE Class
Kirchoff's Law for VoltageFREE Class
Questions based on Kirchoff's Law for Voltage67 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :