A potentiometer contains a wire of length 4m and resistance 10ohms (connected to EMF 3V). Find potential gradient of wire (1) 0.75 V/m (2) 2 V/m (3) 6 V/m (4) 10 V/m

A potentiometer can be defined as a three-terminal resistor with either rotating or sliding contact that develops an adjustable voltage divider. Now, as per the given question, we following can be said:

Potentiometer wire (L) = 4m
Resistance (R) = 10Ω
EMF of the cell = 3V

The potential across potentiometer wire can be estimated as:

V_p = 10 × I

Here, I = E/R

Thus, after replacing the values:

⇒ I = 3/10

⇒ I = 0.3 A

⇒ V_p = 10 × 0.3

⇒ V_p = 3V

Potential gradient can be expressed as the potential difference per unit length. The SI unit of the potential gradient can be defined by replacing the unit of potential difference or voltage and length.

Therefore, it can be represented as:

Potential gradient (k) = V_p/L

⇒ k = 3/4

⇒ Hence, k = 0.75 Vm^-1

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A potentiometer contains a wire of length 4m and resistance 10ohms (connected to EMF 3V). Find potential gradient of wire (1) 0.75 V/m (2) 2 V/m (3) 6 V/m (4) 10 V/m

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3.
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Derive an expression for the capacitance of a parallel plate capacitor of plate area A and plate separation d with air present between the plates.

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A potentiometer contains a wire of length 4m and resistance 10ohms (connected to EMF 3V). Find potential gradient of wire (1) 0.75 V/m (2) 2 V/m (3) 6 V/m (4) 10 V/m

Related Questions

CBSE CLASS XII Related Questions

2.A student sets up the circuit as shown in the figure to find the value of unknown resistance X and records a set of readings of the voltmeter and the ammeter by using the rheostat.

3.This ‘average velocity’ is found be few mm/s for currents in range of a few amperes. How then is current established almost the instant a circuit is closed ?

5.Derive an expression for the capacitance of a parallel plate capacitor of plate area A and plate separation d with air present between the plates.

6.Write two advantages of reflecting telescope over refracting telescope.

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

2.
A student sets up the circuit as shown in the figure to find the value of unknown resistance X and records a set of readings of the voltmeter and the ammeter by using the rheostat.

3.
This ‘average velocity’ is found be few mm/s for currents in range of a few amperes. How then is current established almost the instant a circuit is closed ?

5.
Derive an expression for the capacitance of a parallel plate capacitor of plate area A and plate separation d with air present between the plates.

6.
Write two advantages of reflecting telescope over refracting telescope.