Two cells each of 5V are connected in series across a `8 Omega` resistor and three parallel resistore os ` 4 Omega, 6 Omega, " and " 12 Omega`. Draw a circuit diagram for the above arrangement. Calculate
(i) The currrent drawn from the call
(ii) current through each resistor.

Explanation

The required combination is

In this combination, the resistances `4 Omega, 6 Omega` and ` 12 Omega` are connected in parallel.
`:." "1/R_P = 1/4 + 1/6 + 1/12 `
` = (3+2+1)/12 = 6/12`
` :." "R_P = 12/6 = 2 Omega`
Total resistance i.e., `8 Omega` is to be connected in series with `R_P` is
`R_S = 8+2 = 10 Omega`
Nef emf = 10 V
Current ` I = V/R = 10/10 = 1A`
`:. ` The current flowing through each cell and `8 Omega` resistor is 1A
Potential drop across the parallel combination is
` V. = I R_P = 1 xx 2 = 2V`
`:. ` Current flowing throught ` 4 Omega` is ` I = 2/4 = 0.5 A`
Current flowing through ` 6 Omega` resistor is
` I = 2/6 = 0.3 A `
Current flowing through `12 Omega` resistor is
`I = 2/12 = 1/6 = 0.17 A`