In the following star circuit diagram (figure), the equivalent resistance between the points A and H will be

In the circuit of adjoining figure the current through 12 Ω resister will be

The resistance of the series combination of two resistance is S. When they are joined in parallel the total resistance is P. If S = nP, then the minimum possible value of n is :

Which of the adjoining graphs represents ohmic resistance ?

Variation of current passing through a conductor as the voltage applied across its ends varies is shown in the adjoining diagram. If the resistance (R) is determined at points A, B, C and D, we will find that:

The voltage V and current I graph for a conductor at two different temperatures T₁ and T₂ are shown in the figure. The relation between T₁ and T₂ is :

From the graph between current I and voltage V shown below, identify the portion corresponding to negative resistance 

I-V characteristic of a copper wire of length L and area of cross-section A is shown in figure. The slope of the curve becomes :

E denotes electric field in a uniform conductor, I corresponding current through it, V_d drifts velocity of electrons and P denotes thermal power produced in the conductor, then which of the following graph is incorrect :

The two ends of a uniform conductor are joined to a cell of e.m.f. E and some internal resistance. Starting from the midpoint P of the conductor, we move in the direction of current and return to P. The potential V at every point on the path is plotted against the distance covered (x). Which of the following graphs best represents the resulting curve

The resistance R_t of a conductor varies with temperature t as shown in the figure. If the variation is represented by $R_t=R_0\left[1+\alpha t+\beta t^2\right]$, then 

Variation of current and voltage in a conductor has been shown in the diagram below. The resistance of the conductor is :

Resistance as shown in figure is negative at

For a cell, the graph between the potential difference (V) across the terminals of the cell and the current (I) drawn from the cell is shown in the figure. The e.m.f. and the internal resistance of the cell is:

When a current I is passed through a wire of constant resistance, it produces a potential difference V across its ends. The graph drawn between log I and log V will be

The V-I graph for a conductor at temperature T₁ and T₂ are as shown in the figure. $(T_2-T_1)$ is proportional to :

A cylindrical conductor has a uniform cross-section. The resistivity of its material increases linearly from the left end to the right end. If a constant current is flowing through it and at a section distance x from the left end, the magnitude of electric field intensity is E, which of the following graphs is correct :

The V-I graph for a conductor makes an angle θ with V-axis. Here V denotes the voltage and I denotes current. The resistance of the conductor is given by :

A battery consists of a variable number 'n' of identical cells having internal resistances connected in series. The terminals of battery are short circuited and the current i is measured. Which of the graph below shows the relation ship between i and n

In an experiment, a graph was plotted of the potential difference V between the terminals of a cell against the circuit current I by varying load rheostat. Internal conductance of the cell is given by :

A light bulb, a capacitor and a battery are connected together as shown here, with switch S initially open. When the switch S is closed, which one of the following is true -

The resistance of a wire is R ohm. If it is melted and stretched to n times its original lenght, its new resistance will be:

A potentiometer is an accurate and versatile device to make electrical measurement of EMF because the method involves

The potential difference $\left({\mathrm{V}}_{\mathrm{A}}-{\mathrm{V}}_{\mathrm{B}}\right)$ between points A and B in the given figure is if the current is flowing from A to B:

A potentiometer wire is 100 cm long and a constant potential is maintained across it. Two cells are connected in series first to support one another and then in the opposite direction. The balance points are obtained at 50 cm and 10 cm from the positive end of the wire in the two cases. The ratio of emf is

A potentiometer wire has a length 4 m and resistance 8Ω. The resistance that must be connected in series with the wire and an accumulator of emf 2V, so as to get a potential gradient 1mV per cm of the wire is 

A, B, and C are voltmeters of resistance R, 1.5R, and 3R respectively as shown in the figure. When some potential difference is applied between X and Y, the voltmeter readings are V_A, V_B, and V_C respectively. Then,

A potentiometer wire of length L and a resistance r are connected in series with a battery of e.m.f. $E_o$ and a resistance r₁. An unknown e.m.f. is balanced at a length l of the potentiometer wire. The e.m.f. E will be given by

Two cities are 150 km apart. Electric power is sent from one city to another city through copper wires. The fall of potential per km is 8V and the  average resistance per km is 0.5 Ω. The power loss in the wire is

The resistances in the two arms of the meter bridge are 5 and R , respectively. When the resistance R is shunted with an equal resistance, the new balance point is at 1.6$l_1$. The resistance R, is