IIT-JEE Exam

A series R-C circuit is connected to AC voltage source. Consider two cases; (A) when C is without a
dielectric medium and (B) when C is filled with dielectric of constant 4. The current IR through the resistor
and voltage VC across the capacitor are compared in the two cases. Which of the following is/are true?
(A) A B
R R I > I (B) A B
R R I < I
(B) A B
C C V > V (D) A B
C C V < V

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IIT-JEE Other Question

Which of the following statement(s) is/are correct?
(A) If the electric field due to a point charge varies as r-2.5 instead of r-2, then the Gauss law will still be
valid.
(B) The Gauss law can be used to calculate the field distribution around an electric dipole
(C) If the electric field between two point charges is zero somewhere, then the sign of the two charges is
the same.
(D) The work done by the external force in moving a unit positive charge from point A at potential VA to
point B at potential VB is (VB - VA).
A series R-C combination is connected to an AC voltage of angular frequency w = 500 radian/s. If the
impedance of the R-C circuit is R sqrt(1.25) , the time constant (in millisecond) of the circuit is