In transferring $ 1.5 \mathrm{C} $ charge through a wire, $ 9 \mathrm{~J} $ of work is needed. Find the potential difference across the wire.
Given,
Charge, Q = 1.5C
Work done, W = 9J
To find - V, Potential difference (Voltage)
Solution-
We know that-
$V=\frac{W}{Q}$
Substituting the given values we get-
$V=\frac{9}{1.5}$
$V=\frac{90}{15}$
$V=6volt$
Hence, the potential difference across the wire will be 6V.
Related Articles
- How much work is done in moving a charge of $2 \mathrm{C}$ across two points having a potential difference of $12 \mathrm{~V}$ ?
- A p.d. of $10 \mathrm{~V}$ is needed to make a current of 0.02 A flow through a wire. What p.d. is needed to make a current of 250 mA flow through the same wire?
- A copper rod of diameter \( 1 \mathrm{~cm} \) and length \( 8 \mathrm{~cm} \) is drawn into a wire of length \( 18 \mathrm{~m} \) of uniform thickness. Find the thickness of the wire.
- The diameter of a metallic sphere is equal to \( 9 \mathrm{~cm} \). It is melted and drawn into a long wire of diameter \( 2 \mathrm{~mm} \) having uniform cross-section. Find the length of the wire.
- A current of 5 amperes flows through a wire whose ends are at a potential difference of 3 volts. Calculate the resistance of the wire.
- A charge of 150 coulomb flows through a wire in one minute. Find the electric current flowing through it.
- Calculate the work done in moving a charge of 4 coulombs across two points having a potential difference of 6V.
- A copper wire, \( 3 \mathrm{~mm} \) in diameter, is wound about a cylinder whose length is \( 12 \mathrm{~cm} \), and diameter \( 10 \mathrm{~cm} \), so as to cover the curved surface of the cylinder. Find the length and mass of the wire, assuming the density of copper to be \( 8.88 \mathrm{~g} \mathrm{per} \mathrm{cm}^{3} \).
- What is the electric potential of the wire in a mains supply cable?
- A rectangular piece of land measures \( 0.7 \mathrm{~km} \) by \( 0.5 \mathrm{~km} \). Each side is to be fenced with 4 rows of wires. What is the length of the wire needed?
- An electric circuit consisting of a $0.5 \mathrm{~m}$ long nichrome wire $\mathrm{XY}$, an ammeter, a voltmeter, four cells of $1.5 \mathrm{~V}$ each and a plug key was set up.(i) Draw a diagram of this electric circuit to study the relation between the potential difference maintained between the points ${ }^{\prime} \mathrm{X}^{\prime}$ and ${ }^{\prime} \mathrm{Y}^{\prime}$ and the electric current flowing through $\mathrm{XY}$.(ii) Following graph was plotted between $V$ and $I$ values:What would be the values of $\frac{V}{I}$ ratios when the potential difference is $0.8 \mathrm{~V}, 1.2 \mathrm{~V}$ and $1.6 \mathrm{~V}$ respectively $?$ What conclusion do you draw from these values?(iii) What is the resistance of the wire?"
- What is the usual colour of the insulation of (a) live wire(b) neutral wire, and (c) earth wire?
- A current of $200 \mathrm{~mA}$ flows through a $4 \mathrm{k} \Omega$ resistor. What is the p.d. across the resistor?
- An electrician had \( 5 \frac{4}{7} \mathrm{~cm} \) of wire with him. He used \( 2 \frac{2}{5} \mathrm{~cm} \) of wire to complete a particular job. How much wire is remaining with him after completing the job?
- The work done in moving a unit charge across two points in an electric circuit is a measure of :(a) current(b) potential difference(c) resistance(d) power
Kickstart Your Career
Get certified by completing the course
Get Started