Home
Class 12
PHYSICS
When two identical batteries of internal...

When two identical batteries of internal resistance `1Omega` each are connected in series across a resistor R, the rate of heat produced in R is `J_1`. When the same batteries are connected in parallel across R, the rate is `J_2= 2.25 J_1` then the value of R in `Omega` is

Text Solution

Verified by Experts

`J_(1)=((2E)/(R+2))^(2)R`
`J_(2)=((2E)/(2R+1))^(2)R`
`(J_(1))/(J_(2))= 2.25solving R=4Omega`
Promotional Banner

Similar Questions

Explore conceptually related problems

Two indentical batteries, each of emf 2V andinternal resistance r=1Omega are connected as shown. The maximum power that can be developed across R using these batteries is

A galvanometer, together with an unknown resistance in series, is connected across two identical batteries of each 1.5 V . When the batteries are connected in series,the galvanometer records a current of 1 A , and when the batteries are connected in parallel, the current is 0.6 A . In this case, the internal resistance of the battery is

A 10 V storage battery of negligible internal resistance is connected across a 50Omega resistor. How much heat energy is produced in the resistor in 1 hour

Two cells , each of emf E and internal resistance r , are connected in parallel across a resistor R . The power delivered to the resistor is maximum if R is equal to

A battery of emf 2V and internal resistance 0.5(Omega) is connected across a resistance 1.5(Ω). Find the current flow through battery ?

A set of n identical resistors, each of resistance R Omega , when connected in series have an effective resistance X Omega and when the resistors are connected in parallel, their effective resistance is Y Omega . Find the relation between R, X and Y.

When two resistances R_1 and R_2 are connected in series , they consume 12 W powers . When they are connected in parallel , they consume 50 W powers . What is the ratio of the powers of R_1 and R_2 ?

A 24 V battery of internal resistance 4.0 Omega is connected to a variable resistance. At what value of the current drawn from the battery is the rate of heat produced in the resistor maximum?

When a battery connected across a resistor of 16 Omega , the voltage across the resistor is 12 V. When the same battery is connected across a resistor of 10 Omega , voltage across it is 11 V. The internal resistance of the battery (in ohm) is

Two batteries with emf 12 V and 13V are connected in parallel across a load resistor of 10Omega . The internal resistances of the two batteries are 1Omega and 2Omega respectively . The voltage across the load lies between