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In a meter bridge, the wire of length 1 m has a non-uniform cross-section such that, the variation dRdl of its resistance R with length l is dRdl1l. Two equal resistances are connected as shown in the figure. The galvanometer has zero deflection when the jockey is at point P. What is the length AP ?

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Important Questions on Current Electricity

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A galvanometer, whose resistance is 50 ohm , has 25 divisions in it. When a current of 4×10-4 A passes through it, its needle (pointer) deflects by one division. To use this galvanometer as a voltmeter of range 2.5 V it should be connected to a resistance of:
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In the given circuit diagram, the currents, I1=0.3 A, I4=0.8 A and I5=0.4 A, are flowing as shown. The currents I2, I3 and I6, respectively, are -

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Consider the junction diode as ideal. Find the value of current flowing through AB :

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In which of the following devices, the eddy current effect is not used?
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If 400 Ω of resistance is made by adding four 100 Ω  resistance of tolerance 5% then the tolerance of the combination is 
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Let C be the capacitance of a capacitor discharging through a resistor R. Suppose t1 be the time taken for the energy stored in the capacitor to reduce to half its initial value and t2 be the time taken for the charge to reduce to one-fourth of its initial value. Then the ratio t1t2 will be,
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A resistor R and a capacitor of capacitance 2 μF in series are connected through a switch to 200 V direct supply. Across the capacitor is a neon bulb that lights up at 120 V. Calculate the value of R to make the bulb light up 5 s after the switch has been closed log102.5=0.4.
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A combination of two identical capacitors, a resistor R and a DC voltage source of voltage 6 V is used in an experiment on a CR circuit. It is found that for a parallel combination of the capacitor the time in which the voltage of the fully charged combination reduces to half its original voltage is 10 second. For series combination, the time needed for reducing the voltage of the fully charged series combination by half is