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What is the SI unit of potential gradient? - Physics

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प्रश्न

What is the SI unit of potential gradient?

एका वाक्यात उत्तर
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उत्तर

SI unit of the potential gradient is volt/metre. 

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Potentiometer
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पाठ 9: Current Electricity - Very Short Answer

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संबंधित प्रश्‍न

A potentiometer wire has resistance of per unit length of 0.1 Ω/m. A cell of e.m.f. 1.5 V balances against a 300 cm length of the wire. Find the current in the potentiometer wire.


Figure shows a potentiometer with a cell of 2.0 V and internal resistance 0.40 Ω maintaining a potential drop across the resistor wire AB. A standard cell which maintains a constant emf of 1.02 V (for very moderate currents up to a few mA) gives a balance point at 67.3 cm length of the wire. To ensure very low currents drawn from the standard cell, very high resistance of 600 kΩ is put in series with it, which is shorted close to the balance point. The standard cell is then replaced by a cell of unknown emf ε and the balance point found similarly, turns out to be at 82.3 cm length of the wire.

(a) What is the value ε?

(b) What purpose does the high resistance of 600 kΩ have?

(c) Is the balance point affected by this high resistance?

(d) Is the balance point affected by the internal resistance of the driver cell?

(e) Would the method work in the above situation if the driver cell of the potentiometer had an emf of 1.0 V instead of 2.0 V?

(f) Would the circuit work well for determining an extremely small emf, say of the order of a few mV (such as the typical emf of a thermo-couple)? If not, how will you modify the circuit?


SI unit of potential gradient is _______.

(a) V cm

(b) `V/"cm"`

(c) Vm

(d) `V/m`

 


In the given circuit in the steady state, obtain the expressions for (a) the potential drop (b) the charge and (c) the energy stored in the capacitor, C.


State the principle of a potentiometer. Define potential gradient. Obtain an expression for potential gradient in terms of resistivity of the potentiometer wire.


State the working principle of a potentiometer. With the help of the circuit diagram, explain how a potentiometer is used to compare the emf's of two primary cells. Obtain the required expression used for comparing the emfs.


Write two possible causes for one sided deflection in a potentiometer experiment.


Describe briefly, with the help of a circuit diagram, how a potentiometer is used to determine the internal resistance of a cell.


Two students ‘X’ and ‘Y’ perform an experiment on potentiometer separately using the circuit given below:

Keeping other parameters unchanged, how will the position of the null point be affected if

(i) ‘X’ increases the value of resistance R in the set-up by keeping the key K1 closed and the Key K2 opens?

(ii) ‘Y’ decreases the value of resistance S in the set-up, while the key K2 remains open and they K1 closed?

Justify.


When a resistor of 5Ω is connected across the cell, its terminal potential difference is balanced by 150 cm of potentiometer wire and when a resistance of 10 Ω is connected across the cell, the terminal potential difference is balanced by 175 cm same potentiometer wire. Find the balancing length when the cell is in open circuit and the internal resistance of the cell.


Would you prefer a voltmeter or a potentiometer to measure the emf of a battery?


The net resistance of a voltmeter should be large to ensure that ______________ .


The potentiometer wire AB shown in the figure is 50 cm long. When AD = 30 cm, no deflection occurs in the galvanometer. Find R.


Define potential gradient of the potentiometer wire.


Why should not the jockey be slided along the potentiometer wire?


What are the disadvantages of a potentiometer?


Describe with the help of a neat circuit diagram how you will determine the internal resistance of a cell by using a potentiometer. Derive the necessary formula.


A potentiometer wire has a length of 1.5 m and a resistance of 10 Ω. It is connected in series with the cell of emf 4 Volt and internal resistance 5 Ω. Calculate the potential drop per centimeter of the wire.


A potential drop per unit length along a wire is 5 × 10−3 V/m. If the emf of a cell balances against length 216 cm of this potentiometer wire, find the emf of the cell.


What will be the effect on the position of zero deflection if only the current flowing through the potentiometer wire is decreased?


Why is a potentiometer preferred over a voltmeter for measuring emf?


When the null point is obtained in the potentiometer, the current is drawn from the ______  


A cell of e.m.f 1.5V and negligible internal resistance is connected in series with a potential meter of length 10 m and the total resistance of 20 Ω. What resistance should be introduced in the resistance box such that the potential drop across the potentiometer is one microvolt per cm of the wire?  


The potentiometer is more sensitive, when ______.


A potentiometer is an ideal device for measuring potential difference because ______.


Two cells when connected in series are balanced on 8 m on a potentiometer. If the cells are connected with polarities of one of the cell reversed, they balance on 2 m. The ratio of e.m.f's of the two cells is ____________.


A potentiometer wire has length L For given cell of emf E, the balancing length is `"L"/3` from 3 the positive end of the wire. If the length of the potentiometer wire is increased by 50%, then for the same cell, the balance point is obtained at length.


A cell of e.m.f. 'E' is connected across a resistance 'R'. The potential difference across the terminals of the cell is 90% ofE. The internal resistance of the cell is ______.


When two cells of e.m.f 1.5 V and 1.1 V connected in series are balanced on a potentiometer, the balancing length is 260 cm. The balancing length, when they are connected in opposition is (in cm) ____________.


A potentiometer is used to measure the potential difference between A and B, the null point is obtained at 0.9 m. Now the potential difference between A and C is measured, the null point is obtained at 0.3 m. The ratio `E_2/E_1` is (E1 > E2) ______

 


The current drawn from the battery in the given network is ______ 

(Internal resistance of the battery is neglected)

 


A potentiometer wire is 4 m long and a potential difference of 3 V is maintained between the ends. The e.m.f. of the cell which balances against a length of 100 cm of the potentiometer wire is ______


In the potentiometer experiment, the balancing length with a cell E1 of unknown e.m.f. is 'ℓ1' cm. By shunting the cell with resistance R Ω, the balancing length becomes `ℓ_1/2` cm, the internal resistance (r) of a cell is ______


The sensitivity of the potentiometer can be increased by ______.


In the experiment of potentiometer, at balance point, there is no current in the ______.


Three resistance each of 4Ω are connected to from a triangle. The resistance b / w two terminal is


The conductivity of super - conductor is


What is the current I in the circuit as show in fig.


Consider a simple circuit shown in figure   stands for a variable resistance R′. R′ can vary from R0 to infinity. r is internal resistance of the battery (r << R << R0).

  1. Potential drop across AB is nearly constant as R ′ is varied.
  2. Current through R′ is nearly a constant as R ′ is varied.
  3. Current I depends sensitively on R′.
  4. `I ≥ V/(r + R)` always.

AB is a potentiometer wire (Figure). If the value of R is increased, in which direction will the balance point J shift?


While doing an experiment with potentiometer (Figure) it was found that the deflection is one sided and (i) the deflection decreased while moving from one end A of the wire to the end B; (ii) the deflection increased. while the jockey was moved towards the end B.

  1. Which terminal + or – ve of the cell E1, is connected at X in case (i) and how is E1 related to E?
  2. Which terminal of the cell E1 is connected at X in case (ii)?


Potential difference between the points A and B in the circuit shown is 16 V, then potential difference across 2Ω resistor is ______ V. volt. (VA > VB)


In a potentiometer arrangement, a cell of emf 1.20 V gives a balance point at 36 cm length of wire. This cell is now replaced by another cell of emf 1.80 V. The difference in balancing length of potentiometer wire in above conditions will be ______ cm.


As a cell age, its internal resistance increases. A voltmeter of resistance 270 Ω connected across an old dry cell reads 1.44 V. However, a potentiometer at the balance point gives a voltage measurement of the cell as 1.5 V. Internal resistance of the cell is ______ Ω.


Two identical thin metal plates has charge q1 and q2 respectively such that q1 > q2. The plates were brought close to each other to form a parallel plate capacitor of capacitance C. The potential difference between them is ______.


If you are provided a set of resistances 2Ω, 4Ω, 6Ω and 8Ω. Connect these resistances so as to obtain an equivalent resistance of `46/3`Ω.


What is the value of resistance for an ideal voltmeter?


Draw a neat labelled diagram of Internal resistance of a cell using a potentiometer.


Draw neat labelled diagram of potentiometer as voltage divider.


The Figure below shows a potentiometer circuit in which the driver cell D has an emf of 6 V and internal resistance of 2 Ω. The potentiometer wire AB is 10 m long and has a resistance of 28 Ω. The series resistance RS is of 2 Ω.

  1. The current Ip flowing in the potentiometer wire AB when the jockey (J) does not touch the wire AB.
  2. emf of the cell X if the balancing length AC is 4.5 m.

In a potentiometer, a cell is balanced against 110 cm when the circuit is open. A cell is balanced at 100 cm when short-circuited through a resistance of 10 Ω. Find the internal resistance of the cell.


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