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  4. The equivalent resistance between points A and B with switch S open and closed are respectively

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Q. The equivalent resistance between points $A$ and $B$ with switch $S$ open and closed are respectivelyPhysics Question Image

Current Electricity

Solution:

When switch $S$ is open, the corresponding equivalent circuit diagram is as shown in the figure.
image
The equivalent resistance between $A$ and $B$ is
$R_{ eq }=\frac{12 \times 6}{12+6}+\frac{6 \times 12}{6+12}=4+4=8\, \Omega$
When switch $S$ is closed, the corresponding equivalent circuit diagram is as shown in the figure below
image
The equivalent resistance between $A$ and $B$ is
$R_{ eq }'=\frac{8 \times 8}{8+8}=4\, \Omega$