a)
equivalent resistance
Req=2+2+R=4+R
Net Voltage
Enet =3-1=2 V
Current in the circuit is
I=Enet/Req
=>Req=Enet/I =2/(5*10-3) =400 ohms
4+R=400
R=396 ohms
b)
Power dissipated in resistor R is
PR=I2R=(5*10-3)2*396
PR=9.9*10-3Watts
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