Question

(a) Two resistors R₁ and R₂ may form (i) a series combination or (ii) a parallel combination, and the combination may be connected to a battery of 6 volts. In which combination, will the potential difference across R₁ and across R₂ be the same and in which combination, will the current through R₁ and through R₂ be the same? 

(b) For the circuit shown in this diagram, calculate

(i) the resultant resistance. 

(ii) the total current. 

(iii) the voltage across 7 Ω resistor.

Answer 1

(a) Potential difference across R₁ and R₂ is same in parallel combination of R₁ and R₂ and the current through R₁ and R₂ will be same when they are connected in series.

(b) 5Ω and 10Ω are in parallel.

(iii) Voltage across 7Ω resistor = I x 7 = 0.58 x 7 = 4.06 A.