In the circuits shown below, the readings of the voltmeters and the ammeters will be-

Options

A. `V_(2) gt V_(1)` and `i_(1) gt i_(2)`
B. `V_(2) gt V_(1)` and `i_(1) = i_(2)`
C. `V_(1) = V_(2)` and `i_(1) gt i_(2)`
D. `V_(1) = V_(2)` and `i_(1) = i_(2)`

Answer

D

Explanation

Resistance for ideal voltmeter = `infty`
Resistance for ideal ammeter = 0
For I^(st) circuit:
`1/R_(eq) = 1/R_(1) + 1/R_(2) rArr 1/R_(eq) =1/10 + 1/infty`
`1/R_(eq) = 1/10 + 1/infty`
`1/R_(eq) = 1/10 + 0 rArr R_(eq) = 10 Omega`
`i_(1) =V/R = 10/10 = 1 A`
In IInd circuit
`1/R_(eq) = 1/R_(1) + 1/R_(2) rArr 1/R_(eq) = 1/10 + 1/(10 + infty)`
`1/R_(eq) = 1/10 + 0 rArr R_(eq) = 10 Omega`
`i_(2) =10/10 = 1A`
`V_(2) = 10 V`