1.

Two resistors of resistances 200 kOmega and 1 Momega respectively form a potential divider with outer junctions maintained at potentials of +3 V and -15 V. Then, the potential at the junction between the resistors is

Answer»

`0 V`
`+1 V`
`-12 V`
`+12 V`

Solution :Potential difference across `1MOmega` resistor is
`V_(P)-V_(B)=(18Vxx1xx10^(6)Omega)/((0.2+1)xx10^(6)Omega)`
`=(18Vxx1xx10^(6)Omega)/(1.2xx10^(6)Omega)=15V`

`V_(B)=-15V` (Given)
`therefore V_(P)-V_(B)=15V`
or `V_(P)=15V+V_(B)=15V-15V=0V`
Potential difference across `20kOmega` resistor is
`V_(A)-V_(P)=(18Vxx0.2xx10^(6)Omega)/((0.2xx1)xx10^(6)Omega)=(18Vxx0.2xx10^(6)Omega)/(1.2xx10^(6)Omega)=3V`
`V_(A)=+3V` (Given)
`therefore V_(A)-V_(P)=3VorV_(P)=V_(A)-3V=+3V-3V=0V`


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