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A battery is connected to a uniform resistance wire AB and B is earthed. Which one of the graphs below shows how the current density J varies along AB?

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Important Questions on Electric Current and Circuits

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Two wires each of radius of cross-section r but of different materials are connected together end to end (i.e., in series). If the densities of charge carriers in the two wires are in the ratio 1:4, the drift velocity of electrons in the two wires will be in the ratio
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A solid conductor has a cross-section area 1 cm2 and 2 cm2, as shown in the figure. A current of 20 A enters at A. Then

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A 150 m long metal wire connects points A and B. The electric potential at point B is 50 V less than that at point A. If the conductivity of the metal is 60×106 mho m-1, then the magnitude of the current density in the wire is equal to:
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First, a set of n equal resistors of R each is connected in series to a battery of emf E and internal resistance R. A current I is observed to flow. Then, the n resistors are connected in parallel to the same battery. It is observed that the current is increased 10 times. What is n?
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Suppose there is a circuit consisting of only resistances and batteries. Suppose one is to double (or increase it to n times) all voltages and all resistances. Show that currents are unaltered.
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IMPORTANT

Find the equivalent resistance between terminals A and B. Each resistor is of resistance R.

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IMPORTANT

Find the equivalent resistance between A and B in the arrangement of resistances as shown.

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JEE Main
IMPORTANT
The two ends of a uniform conductor are joined to a cell of emf E and some internal resistances. 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?