The figure shows a circuit with two identical resistors and an ideal inductor. I

Question

The figure shows a circuit with two identical resistors and an ideal inductor. Is the current through the central resistor more than, less than or the same as that through the other resistor a long time after the closing of switch S? (i) Greater than (ii) Smaller than (ii) The same as (iv) Not enough information The diagram shows six 3 mu F capacitors. The capacitance between points a and b (if a battery is connected between points a and b) is: (i) 2 mu F (ii) 3 mu F (iii) 4 mu F (iv) 6 mu F (v) 9 mu F The figure shows four identical currents and five Amperian paths (marked a through e) encircling them. The correct ranking of the paths (most positive first) according to the value of the quantity contourintegral B vector. d s vector, taken in the direction shown, is given by: A. a > b > c > d > e B. e > d = b > c > a D. d > a = e > b > c E. a = b = c = d = e

Explanation / Answer

solving first question of the page

Question 1

after long time ,inductor will act as short circuit so it is just a plane wire

since resistance are equal ,current aross them will also be same

option(iii) is correct

Question 2

here all capacitance are 3 uF

net capacitace of above =net capacitance of below=1/(1/3 +1/3 +1/3)=1 uF

net capacitance=1+1=2 uF

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