$\"\"$

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(1)

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Step 1:

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Observe the circuit.

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The resistors $\"\"$ and $\"\"$ are in series.

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Resultant resistance is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in above expression.

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$\"\"$

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Resultant series resistance is $\"\"$ .

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Above resultant comes parallel with $\"\"$ .

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Therefore,

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Resultant resistance is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in above expression.

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$\"\"$

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$\"\"$

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Total resistance of the circuit is $\"\"$ .

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(2)

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Step 1:

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The $\"\"$ is connected in parallel with source of $\"\"$ .

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Thus, the voltage through the resistor $\"\"$ is $\"\"$ .

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Ohms law: $\"\"$ .

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Find the current passing through the resistor $\"\"$ .

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$\"\"$

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Current passing through the resistor $\"\"$ is $\"\"$ .

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(3)

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Step 1:

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Resultant series resistance of $\"\"$ and $\"\"$ is $\"\"$ .

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Voltage passing through the $\"\"$ is also $\"\"$ .

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Find the current throgh the resistance $\"\"$ .

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Ohms law: $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$ .

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Since

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(4)

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Step 1:

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Find the total curent passing through the circuit.

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From the results of (2) and (3), we have $\"\"$ and $\"\"$ .

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$\"\"$ .

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$\"\"$

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Solution :

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Total resistance of the circuit between $\"\"$ and $\"\"$ is $\"\"$ .