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A wire of length \( 25 \, \text{m} \) and cross-sectional area \( 5 \, \text{mm}^2 \) having resistivity of \( 2 \times 10^{-6} \; \Omega\, \text{m} \) is bent into a complete circle. The resistance between diametrically opposite point will be:

An electric bulb rated as \( 100 \, \text{W} - 220 \, \text{V} \) is connected to an ac source of rms voltage \( 220 \, \text{V} \). The peak value of current through the bulb is:

Sliding contact of a potentiometer is in the middle of the potentiometer wire having resistance \( R_p = 1 \, \Omega \) as shown in the figure. An external resistance of \( R_e = 2 \, \Omega \) is connected via the sliding contact. The electric current in the circuit is:

A wire of resistance \( R \) is bent into a triangular pyramid as shown in figure with each segment having same length. The resistance between points \( A \) and \( B \) is \( \frac{R}{n} \). The value of \( n \) is:

Which of the following resistivity \( (\rho) \) v/s temperature \( (T) \) curves is most suitable to be used in wire bound standard resistors?

In the figure shown below, a resistance of \( 150.4 \, \Omega \) is connected in series to an ammeter A of resistance \( 240 \, \Omega \). A shunt resistance of \( 10 \, \Omega \) is connected in parallel with the ammeter. The reading of the ammeter is ________ \( \text{mA} \).

Two cells of emfs \( 1 \, \text{V} \) and \( 2 \, \text{V} \) and internal resistances \( 2 \, \Omega \) and \( 1 \, \Omega \), respectively, are connected in series with an external resistance of \( 6 \, \Omega \). The total current in the circuit is \( I_{1} \). Now the same two cells in parallel configuration are connected to same external resistance. In this case, the total current drawn is \( I_{2} \). The value of \( \left( \dfrac{I_{1}}{I_{2}} \right) \) is \( \dfrac{x}{3} \). The value of \( x \) is ____________.

From the combination of resistors with resistances values \( R_1=R_2=R_3=5\,\Omega \) and \( R_4=10\,\Omega \), which of the following combination is the best circuit to get an equivalent \( 6\,\Omega \)?

The battery of a mobile phone is rated as \( 4.2 \, \mathrm{V} \), \( 5800 \, \mathrm{mAh} \). How much energy is stored in it when fully charged?

Find the equivalent resistance between two ends of the following circuit:

Consider a moving coil galvanometer (MCG):
A. The torsional constant in moving coil galvanometer has dimentions \( [ML^{2}T^{-2}] \).
B. Increasing the current sensitivity may not necessarily increase the voltage sensitivity.
C. If we increase number of turns \( (N) \) to its double \( (2N) \), then the voltage sensitivity doubles.
D. MCG can be converted into an ammeter by introducing a shunt resistance of large value in parallel with galvanometer.
E. Current sensitivity of MCG depends inversely on number of turns of coil.
Choose the correct answer from the options given below:

A wire of resistance \( R \) is bent into an equilateral triangle and an identical wire is bent into a square. The ratio of resistance between the two end points of an edge of the triangle to that of the square is:

The difference of temperature in a material can convert heat energy into electrical energy. To harvest the heat energy, the material should have

At steady state the charge on the capacitor, as shown in the circuit below, is __________ \( \mu\text{C} \).

Given below are two statements:
Statement-I: The equivalent emf of two nonideal batteries connected in parallel is smaller than either of the two emfs.
Statement-II: The equivalent internal resistance of two nonideal batteries connected in parallel is smaller than the internal resistance of either of the two batteries.
In the light of the above statements, choose the correct answer from the options given below.

A motor operating on \( 100 \, \text{V} \) draws a current of \( 1 \, \text{A} \). If the efficiency of the motor is \( 91.6\% \), then the loss of power in units of cal/s is:

There are '\( n \)' number of identical electric bulbs, each is designed to draw a power \( p \) independently from the mains supply. They are now joined in series across the mains supply. The total power drawn by the combination is:

A wire of resistance \( 9 \, \Omega \) is bent to form an equilateral triangle. Then the equivalent resistance across any two vertices will be _______ ohm.

Current passing through a wire as function of time is given as \( I(t)=0.02t+0.01\,\text{A} \). The charge that will flow through the wire from \( t=1\,\text{s} \) to \( t=2\,\text{s} \) is:

The value of current \( I \) in the electrical circuit as given below, when potential at \( A \) is equal to the potential at \( B \), will be _________ \( \text{A} \).

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JEE MAIN 2025 7th April Morning Shift

A wire of resistance \( R \) is bent into a triangular pyramid as shown in figure with each segment having same length. The resistance between points \( A \) and \( B \) is \( \frac{R}{n} \). The value of \( n \) is: