Question

Three resistors are arranged in a circuit as shown in figure. The voltage-current graph of three resistors are
given below. The ratio of current flowing in the circuit when switch S is closed to switch S is opened, is​

Answer 1

Answer:

Explanation:

First let us find the resistances of the resistors R₁ , R₂ ,  

we know V = i x R

it can be obtained from the slope of the V vs i graphs of the corresponding graphs.

so R₁ = tan(30°) = 1 / √3 ; R₂ = tan(60°) = √3 ; R₃  = tan(45°) = 1.

Now when the switch s is closed ,

equivalent resistance of the circuit can be given by

⇒  

⇒Req = 2.098 Ω

so the current through the circuit i = V / Req

⇒ i₁ = 120 / 2.098 = 57.195 amp

now when the switch s is open the equivalent resistance

Req = 1 /√3 + √3 = 2.309 Ω      

so the current through the circuit = 120 / 2.309

i₂ = 51.97 amp  

so ,

i₁ : i₂ = 1.1 : 1

HOPE THIS HELPS YOU !!