हिंदी

The equivalent resistance of the following circuit diagram is 4⁢Ω. Calculate the value of X.

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प्रश्न

The equivalent resistance of the following circuit diagram is \(4 \Omega\). Calculate the value of X.

The figure shows two parallel branches between A and B, with resistors of 5 Ω and X Ω in the upper branch and 8 Ω and 4 Ω in the lower branch. The equivalent resistance is R = 12(5 + X)/(17 + X) Ω.

संख्यात्मक
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उत्तर

Given: The equivalent resistance is \(4\ \Omega\).

Formula: Using the equivalent-resistance expression shown in the figure,

\[4=\frac{12(5+X)}{17+X}\]

Calculation:

\[4(17+X)=12(5+X)\]

\[68+4X=60+12X\]

\[8=8X\]

\[X=1\ \Omega\]

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अध्याय 4: Electricity and Magnetism - Frequently Asked Questions in Board Examination [पृष्ठ २८३]

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फ्रैंक Physics Part 2 [English] Class 10 ICSE
अध्याय 4 Electricity and Magnetism
Frequently Asked Questions in Board Examination | Q 16. | पृष्ठ २८३
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