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QJEEM21Ph1f83: JEE Main 2021 Physics - Class 12 JEEM21Ph1f83 Solution: The ratio of the equivalent resistance of the network (shown in …

The ratio of the equivalent resistance of the network (shown in figure) between the points a and b when switch is open and switch is closed is x : 8. The value of x is ___________.

JEE Main 2021 (Online) 27th August Evening Shift Physics - Current Electricity Question 167 English

Step-by-Step Verified Solution

Req open=3R2{R_{eq\,open}} = {{3R} \over 2}

Req closed=2×R×2R3R=4R3{R_{eq\,closed}} = 2 \times {{R \times 2R} \over {3R}} = {{4R} \over 3}

Req openReq closed=3R2×34R=98{{{R_{eq\,open}}} \over {{R_{eq\,closed}}}} = {{3R} \over 2} \times {3 \over {4R}} = {9 \over 8}

∴\therefore x=9x = 9

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