The given figure shows the network of resistance `R_1`, `R_2`, `R_3` and `R_4`. Using Kirchhoff's laws, establish the balanced condition for the network.

Four resistance R_1,R_2,R_3 and R_4 are connected in parallel. The resultant resistance R is

If the ammeter in the given circuit reads 2A, the resistance R is

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.

A circular ring having negligible resistance is used to connect four resistors of resistances 6 R, 6R, 6R and R shown in the figure. Find the equivalent resistance between points A and B.

A cell, with finite internal resistance r, is connected across two external resistances R_1 and R_2(R_1> R_2) , one by one. In which case would the terminal potential difference of the cell more ? Justify your anwer.

With two resistance R_1 and R_2 (>R_1) in the two gaps of a metre bridge the balance was found to be 1/3 m from the zero end. When a 6 Omega resistance is connected in series with the smaller of the two resistance, the point is shifted to 2/3 m from the same end, then R_1 and R_2 Find the resistance of the two wires.

When two resistors of resistance R_1 and R_2 are connected in parallel, the net resistance is 3 ohm. When connected in series. Its values of 16 ohm. Calculate the value of R_1 and R_2 .

Three resistance R_1 , R_2 and R_3 are connected on parallel. Show that their equivalent resistance is 1/R=1/R_1+1/R_2+1/R_3