To Download PDF
Please verify your Whatsapp number first,
so you can download this pdf immediately
Two conducting wires of the same material and equal lengths and equal diameters are first connected in series and then parallel in a circuit across the same potential difference. The ratio of heat produced in series and parallel combinations would be :
(a) 1 : 2 (b) 2 : 1
(c) 1 : 4 (d) 4 : 1
(c) 1 : 4
Explanation : The wire is made of the same conducting material, having equal length and width, thus each wire has the same resistance = R
For series combination :
RS = R + R
= 2R
For parallel combination :
1/RP = 1/R + 1/R
1/RP = 2/R
RP = R/2
Electric Power
P = V2t/R
For series combination, the heat released
PS = V2t/RS
PS = V2t/2R
For parallel combination, the heat released :
PP = V2t/RP
PP = V2t/(R/2)
⇒ PS/PP = (V2t/2R) / (V2t/(R/2))
PS/PP = (V2t/2R) X (R/2)/V2t // Cancelling V2t by V2t
PS/PP = 1/2R X R/2 // Cancelling R by R
PS/PP = 1/2 x 1/2
PS/PP = 1/4
Hence.
PS : PP = 1 : 4
Please verify your Whatsapp number first,
so you can download this pdf immediately
Please type a valid 10 digit whatsapp number
OTP sent, check your whatsapp
Your OTP is incorrect, Please enter valid OTP