An electric heater has heating coils A and B, when coil A is switched on, the water boils in 10 minute, and when coil B is switched on the water boils in 20 minute. Calculate the time taken by water, to boil if the coils connected in
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
[ t s = 30 min, t p = 
min.]
Sol. Let thermal energy Q A generated when coil A is switched on
Q A = 
= 
10
Let thermal energy Q B generated when coil B is switched on
Q B = 
= 
20
since Q A = Q B
we have 
10 = 
20
or 2R A = R B
when A & B are connected in series thermal energy Q S = 
= 
Q S = Q P = Q A = Q B
= 
10
or t S = 10 
= 
10 = 30 minutes
when A & B are in parallel
Q P = 
= 
Q P = Q A
or 
= 
10
or t p 
= 
or t p = 
minutes
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