When a battery of e.m.f E and internal resistance r is connected to a resistance R, a current I flows throgh it. Derive a relation between E,I,r and R.

A battery of e.m.f. 12 V and internal resistance 5Omega is connected to a resistor. If the current through the circuit is 0.3 A, what is the resistance of the resistor? What is the terminal voltage of the battery, when the circuit is closed?

A student measures the terminal potential difference (V) of a cell (of emf E and internal resistance r) as a function of the current (I) flowing through it. The slope and intercept of the graph between V and I, then respectively, equal

A battery of e.m.f. 10V and internal resistance 3 Omega is connected to a resistor. If the current in the circuit is 0.5 A, What is the resistance of the resistor? What is the terminal voltage of the battery when the circuit is closed?

A battery of e.m.f. 3 volt and internal resistance r is conneted inseries with a resistance of 55 ohm through an ammeter of resistance 1 ohm. The ammeter reads 50 mA. Draw the circuit diagram and calculate the value of r.

A cell of e.m.f. E an internal resistance r is connected across an external resistance R. Plot a graph showing the variation of P.D. across R, verses R.

A cell of emf E and internal resistance r is connected to external resistance R_1 and R_2 and a perfect ammeter. The current in the circuit is measured in four different situations. without any external resistance in the circuit with resistance R _1 only with R_1 and R_2 in parallel combination with R_1 and R_2 in series combination the currents measured in the four cases are 0.42 A, 1.05A, 1.4A adn 4.2 A, but not necessarily in that order. Identify the currents corresponding to the four case mentioned above.

n cells of e.m.f E and internal resistance r are connected in series with an external resistance R . the current will increase n times that of a single cell, if

A cell of emf E and internal resistance r is connected to two external resistance R_(1) " and " R_(2) and a perfect ammeter. The current in the circuit is measured in four different situations : (i) without any external resistance in the circuit

A cell of emf E and internal resistance r is connected to two external resistance R_(1) " and " R_(2) and a perfect ammeter. The current in the circuit is measured in four different situations : (ii) with resistance R_(1) only