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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Two metal spheres of radii $r_1$ and $r_2$ ($> r_1$) having charges $q_1$ and $q_2$ respectively kept in air, are brought in contact. Which of the following statements is not correct ?

3.
Consider the nuclear reaction \( X \to Y + Z \). Let \( M_x \), \( M_y \), and \( M_z \) be the masses of the three nuclei X, Y, and Z respectively. Then which of the following relations hold true?

5.
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 ?

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With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator.

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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

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2.Two metal spheres of radii $r_1$ and $r_2$ ($> r_1$) having charges $q_1$ and $q_2$ respectively kept in air, are brought in contact. Which of the following statements is not correct ?

3.Consider the nuclear reaction \( X \to Y + Z \). Let \( M_x \), \( M_y \), and \( M_z \) be the masses of the three nuclei X, Y, and Z respectively. Then which of the following relations hold true?

5.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 ?

6.With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator.

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

2.
Two metal spheres of radii $r_1$ and $r_2$ ($> r_1$) having charges $q_1$ and $q_2$ respectively kept in air, are brought in contact. Which of the following statements is not correct ?

3.
Consider the nuclear reaction \( X \to Y + Z \). Let \( M_x \), \( M_y \), and \( M_z \) be the masses of the three nuclei X, Y, and Z respectively. Then which of the following relations hold true?

5.
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 ?

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With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator.