Judge the equivalent resistance when the following are connected in parallel: 1 Omega and 10^(6)Omega

Judge the equivalent resistance when the following are connected in pa

1.	Judge the equivalent resistance when the following are connected in parallel: 1 Omega and 10^(6)Omega
Answer» Solution :(a) Less than 1`Omega` (but approximately `1 Omega`) (b) less than `1 Omega` (but approximately `1 Omega`) EXPLANATION: When RESISTORS are CONNECTED in parallel. the equivalent resistance is less than the least resistance (here in both the cases it is 1 `Omega`) connected in the combination. Here , `R_1 = 1Omega and R_2 = 10^6 Omega` The equivalent resistance `R_p` of the parallel combination is given by. `1/R_P = 1/R_1 + 1/R_2` `:. R_p = (R_1 xx R_2)/(R_1 + R_2)` `= (1 xx 10^6)/(1 + 10^6)` `= (1000000)/(1000001) ~~ 1 Omega`