Find the value of $R_{P}$ in the given circuit? $(V_{z} = 8 V)$

$4 Ω$

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$6 Ω$

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$3 Ω$

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$5 Ω$

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Solution

The correct option is B
$6 Ω$

Step 1: Given data
Voltage $V_{Z} = 8 V$
Voltage of battery $V_{B}$ $= 20 V$
Current $I_{Z} = 2 A$
Resistance $= R_{P}$
Step 2: To find the value of $R_{P}$
By applying the equation of $K V L$ (Kirchhoff's Voltage Law) rule we can get
$V_{B} - V_{Z} - I_{Z} \times R_{P} = 0$
$20 - 8 - 2 R_{P} = 0 2 R_{P} = 20 - 8 R_{P} = \frac{12}{2} R_{P} = 6$
Therefore the value of $R_{P} = 6 Ω$
Hence the correct answer is Option B

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