Two insulated spherical conductors of capacities `1muF and 2muF` are charged to 100 V and 200 V respectively. The conductors are then brought in conta

Question

Two insulated spherical conductors of capacities `1muF and 2muF` are charged to 100 V and 200 V respectively. The conductors are then brought in conta

Two insulated spherical conductors of capacities `1muF and 2muF` are charged to 100 V and 200 V respectively. The conductors are then brought in contact. The charges on the sphere after contact are
A. `1.6xx10^(-4)C,3.3xx10^(-4)C`
B. `2.6xx10^(-4)C,3.3xx10^(-4)C`
C. `1.6xx10^(-4)C,4.3xx10^(-4)C`
D. `2.6xx10^(-4)C,4.3xx10^(-4)C`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - A
`V=(C_(1)V_(1)+C_(2)V_(2))/(C_(1)+C_(2))`
`=(1xx10^(-6)xx100+2xx10^(-6)xx200)/(1xx10^(-6)+2xx10^(-6))=500/3V`
Now," "`Q_(1)^(1)=C_(1)V=(1xx10^(-6)xx500)/3=1.6xx10^(-4)C`
`Q_(2)^(1)=C_(2)V=(2xx10^(-6)xx500)/3`
`=3.3xx10^(-4)C`

4 views Answered 2023-02-05 15:29