Calculate the value of the resistance R in the circuit shown in the figure so that the current in the circuit is 0.2 A. What would be the potential difference between points B and E?

Explanation

`5Omega and 10 Omega` are in series,
`therefore" "R_(s)=5 Omega + 10 Omega =15 Omega`
`15 Omega i.e. R_(s) and 10 Omega" are in parallel "therefore" "R_(P)=(15xx10)/(25)=6 Omega`
`R_(P)' and 30 Omega" are also in parallel "therefore" "R_(P)'=(6xx30)/(36)=5 Omega`
But `R_(P)', R and 15 Omega` are in series
`therefore" "R_(P)'=R_(P)''+R+15 Omega = 5 Omega + R +15 Omega`
`R_(s)=20 Omega+R`
Current = 0.2 A
`(epsilon)/("Total resistance") " = total current "therefore(8-3)/(20+R)=0.2A," "R=5 Omega`
Potential diference : `IxxRBE = 0.2xx5=1.0 V.`