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The net current flowing in the given circuit is __________ A.
A wire of resistance $9 \Omega$ is bent to form an equilateral triangle. Then the equivalent resistance across any two vertices will be _________ ohm.
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 _______ A.
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___________mA .
Two cells of emfs 1 V and 2 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 $\mathrm{I}_2$. The value of $\left(\frac{\mathrm{I}_1}{\mathrm{I}_2}\right)$ is $\frac{x}{3}$. The value of $x$ 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 :
Which of the following resistivity ( $\rho$ ) $\mathrm{v} / \mathrm{s}$ temperature ( T ) curves is most suitable to be used in wire bound standard resistors?
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.
Consider a moving coil galvanomenter (MCG):
A. The torsional constant in moving coil galvanometer has dimentions $\left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right]$
B. Increasing the current sensitivity may not necessarily increase the voltage sensitivity.
C. If we increase number of turns $(\mathrm{N})$ to its double $(2 \mathrm{~N})$, 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 galvanometer having a coil of resistance $30 \Omega$ need 20 mA of current for full-scale deflection. If a maximum current of 3 A is to be measured using this galvanometer, the resistance of the shunt to be added to the galvanometer should be $\frac{30}{X} \Omega$, where $X$ is
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
Find the equivalent resistance between two ends of the following circuit
In the circuit shown here, assuming threshold voltage of diode is negligibly small, then voltage $ V_{AB} $ is correctly represented by:
Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : Choke coil is simply a coil having a large inductance but a small resistance. Choke coils are used with fluorescent mercury-tube fittings. If household electric power is directly connected to a mercury tube, the tube will be damaged.
Reason (R): By using the choke coil, the voltage across the tube is reduced by a factor $\left(R / \sqrt{R^2+\omega^2 L^2}\right)$, where $\omega$ is frequency of the supply across resistor $R$ and inductor $L$. If the choke coil were not used, the voltage across the resistor would be the same as the applied voltage.
In the light of the above statements, choose the most appropriate answer from the options given below :
The battery of a mobile phone is rated as $4.2 \mathrm{~V}, 5800 \mathrm{~mAh}$. How much energy is stored ir it when fully charged?
Current passing through a wire as function of time is given as $I(t)=0.02 t+0.01 \mathrm{~A}$. The charge that will flow through the wire from $t=1 \mathrm{~s}$ to $t=2 \mathrm{~s}$ 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 resistance of $6 \Omega$ ?
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 $R$ is bent into a triangular pyramid as shown in figure with each segment having same length. The resistance between points $A$ and $B$ is $R / n$. The value of $n$ is :
A wire of length 10cm and radius √7 × 10−4m connected across the right gap of a meter bridge. When a resistance of 4.5Ω is connected on the left gap by using a resistance box, the balance length is found to be at 60cm from the left end. If the resistivity of the wire is R × 10−7Ωm, then value of R is :
[27-Jan-2024 Shift 1]
A wire of resistance R and length L is cut into 5 equal parts. If these parts are joined parallely, then resultant resistance will be :
A current of 200µA deflects the coil of a moving coil galvanometer through 60∘. The current to cause deflection through π/10 radian is :
[27-Jan-2024 Shift 2]
Wheatstone bridge principle is used to measure the specific resistance (S1) of given wire, having length L, radius r. If X is the resistance of wire, then specific resistance is : If the length of the wire gets doubled then the value of specific resistance will be :
Three voltmeters, all having different internal resistances are joined as shown in figure. When some potential difference is applied across A and B, their readings are V1,V2 and V3. Choose the correct option.
The electric current through a wire varies with time as I = I0 + β t. where I0 = 20A and β = 3A∕ s. The amount of electric charge crossed through a section of the wire in 20 s is :
[29-Jan-2024 Shift 1]
A galvanometer having coil resistance 10Ω shows a full scale deflection for a current of 3mA. For it to measure a current of 8A, the value of the shunt should be:
The deflection in moving coil galvanometer falls from 25 divisions to 5 division when a shunt of 24Ω is applied. The resistance of galvanometer coil will be :
In the given circuit, the current in resistance R3 is :
[29-Jan-2024 Shift 2]
In the given circuit, the current flowing through the resistance 20Ω is 0.3A, while the ammeter reads 0.9 A. The value of R1 is_____ Ω.
An electric toaster has resistance of 60Ω at room temperature (27∘C). The toaster is connected to a 220V supply. If the current flowing through it reaches 2.75A, the temperature attained by toaster is around : (if α = 2 × 10−4∕∘C)
[30-Jan-2024 Shift 1]
A potential divider circuit is shown in figure. The output voltage V0 is
Two cells are connected in opposition as shown. Cell E1 is of 8V emf and 2Ω internal resistance; the cell E2 is of 2V emf and 4Ω internal resistance. The terminal potential difference of cell E2 is:
When a potential difference V is applied across a wire of resistance R, it dissipates energy at a rate W. If the wire is cut into two halves and these halves are connected mutually parallel across the same supply, the same supply, the energy dissipation rate will become:
[30-Jan-2024 Shift 2]
Two resistance of 100Ω and 200Ω are connected in series with a battery of 4V and negligible internal resistance. A voltmeter is used to measure voltage across 100Ω resistance, which gives reading as 1V. The resistance of voltmeter must be ______Ω
Equivalent resistance of the following network is Ω.
[31-Jan-2024 Shift 1]
The resistance per centimeter of a meter bridge wire is r, with XΩ resistance in left gap. Balancing length from left end is at 40cm with 25Ω resistance in right gap. Now the wire is replaced by another wire of 2r resistance per centimeter. The new balancing length for same settings will be at
[31-Jan-2024 Shift 2]
By what percentage will the illumination of the lamp decrease if the current drops by 20% ?
In the following circuit, the battery has an emf of 2 V and an internal resistance of 2/3Ω. The power consumption in the entire circuit is_______ W.
A galvanometer has a resistance of 50Ω and it allows maximum current of 5mA. It can be converted into voltmeter to measure upto 100V by connecting in series a resistor of resistance
[1-Feb-2024 Shift 1]
The current in a conductor is expressed as I = 3t2 + 4t3, where I is in Ampere and t is in second. The amount of electric charge that flows through a section of the conductor during t = 1 s to t = 2 s is _______C.
In an ammeter, 5% of the main current passes through the galvanometer. If resistance of the galvanometer is G, the resistance of ammeter will be :
[1-Feb-2024 Shift 2]
To measure the temperature coefficient of resistivity α of a semiconductor, an electrical arrangement shown in the figure is prepared. The arm BC is made up of the semiconductor. The experiment is being conducted at 25∘C and resistance of the semiconductor arm is 3mΩ. Arm BC is cooled at a constant rate of 2∘C∕ s. If the galvanometer G shows no deflection after 10 s, then α is :
In a metre-bridge when a resistance in the left gap is 2Ω and unknown resistance in the right gap, the balance length is found to be 40cm. On shunting the unknown resistance with 2Ω, the balance length changes by :