find total resistance R1 and R2 which when connected in series have Req=40ohms and when in parellel Req=7.5ohms... please fast
Dear student,
When R1 and R2 are connected in series, the equivalent resistance is =R1+R2=40 ohm...(1)
R1=40-R2.....(2)
When R1 and R2 are connected in parallel, the equivalent resistance is
=
Putting the values of R1 from the equation(2), we get.
40R2-R22=300
R22-40R2+300=0
R22-10R2-30R2+300=0
R2(R2-10)-30(R2-10)=0
(R2-10)(R2-30)=0
R1=10ohm
R2=30ohm.
Regards
When R1 and R2 are connected in series, the equivalent resistance is =R1+R2=40 ohm...(1)
R1=40-R2.....(2)
When R1 and R2 are connected in parallel, the equivalent resistance is
=
Putting the values of R1 from the equation(2), we get.
40R2-R22=300
R22-40R2+300=0
R22-10R2-30R2+300=0
R2(R2-10)-30(R2-10)=0
(R2-10)(R2-30)=0
R1=10ohm
R2=30ohm.
Regards