A composite rod made up of two conductors of resistivity ρ1 and ρ2 is show in the figure. If face A and B are connected to a battery, find the resistance of the rod.
A composite rod made up of two conductors of resistivity ρ1 and ρ2 is show in the figure. If face A and B are connected to a battery, find the resistance of the rod.
Option 1 - <p>(ρ₁+ ρ₂)L / 4a²<br><!-- [if !supportLineBreakNewLine]--><br><!--[endif]--></p>
Option 2 - <p>(3ρ₁+ ρ₂)L / 3a²<br><!-- [if !supportLineBreakNewLine]--><br><!--[endif]--></p>
Option 3 - <p>ρ₁ρ₂L / a²(3ρ₁+ρ₂)<br><!-- [if !supportLineBreakNewLine]--><br><!--[endif]--></p>
Option 4 - <p>3ρ₁ρ₂L / a²(3ρ₁+ρ₂)</p>
25 Views|Posted 5 months ago
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5 months ago
Correct Option - 3
Detailed Solution:
R? = (ρ? L)/a² R? = (ρ? L)/ (3a²)
Both are in parallel . R? = (R? )/ (R? +R? ) = (ρ? ρ? L)/ (a² (3ρ? +ρ? )
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