question archive What is the value of resistor R in the figure(Figure 1) if ?V=6

What is the value of resistor R in the figure(Figure 1) if ?V=6

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What is the value of resistor R in the figure(Figure 1) if ?V=6.5V?

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given

\Delta V = 6.5 ohm

i = 100 m A

i = 0.1 A

R1 = 10 ohm , R2 = 15 ohm , and other remained resistor is R

according to Ohm's law

\Delta V = i Req  

Req = \Delta V / i

Req = 6.5 / 0.1

Req = 65 ohm

here R1 , R2 , R are in series

so Req = R1 + R2 + R

65 = 10 + 15 + R

R = 65 - 25

R = 40 ohm