A battery has an emf E and internal resistance r. A variable resistance R is connected across the terminals of the battery. Find the value of R such that (a) the current in the circuit id maximum (b) the potential difference across the terminals is maximum.

A battery is of emt E and internal resistance r . The value of external resistance R so that the power across eternal resistance is maximum :

A battery of emf E has an internal resistance r. A variable resistacne R is connected to the terminals of the battery. A current i is drawn from the battery. V is the terminal potential difference. If R alone is gradually reduced to zero, which of the following best describes i and V?

A battery of emf E and internal resistance r is connected to a variable resistor R as shown in figure. Which one of the following is true ?

Shown n batteries connected to form a circuit. The resistances donote the internal resistances of the batteries which are related to the emf's as r_(i)=k(epsilon)_(i) where K is a constant. The solid dits represent the terminals of the batteries. Find (a)the current through the circuit and (b) the potential difference between the terminals of the ith battery.

A battery of emf E and internal resistance r is connected across a resistance R. Resistance R can be adjusted to any value greater than or equal to zero. A graph is plotted between the current passing through the resistance (I) and potential difference across the termainals of the battery (V). Maximum power developed across the resistance R is

Cell A has emf 2 E ad internal resistance 4 r. Cell B has emf E and internal resistance r. The negative of A is connected to the positive of B and a load resistance of R is connected across the battery formed. If the terminal potential difference across A is zero, then R is equal to

A battery of e.m.f. 10 V and internal resistance 0.5 ohm is connected across a variable resistance R . The value of R for which the power delivered in it is maximum is given by