You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Conductivity and Resistivity

An electric f...

Question

An electric field (in $V / m$ ) is given by $E = 10 x^{3}$ . Determine the potential difference, in volts, between $x = 0 m$ and $x = 3 m$ .

202.5

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

100

No worries! We‘ve got your back. Try BYJU‘S free classes today!

20

No worries! We‘ve got your back. Try BYJU‘S free classes today!

250

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $202.5$
We know that, $E = - \frac{d V}{d x}$

$V = - \int_{0}^{3} E d x = - \int_{0}^{3} 10 x^{3} d x = - 10 \times \frac{3^{4}}{4} = 202.5$

Suggest Corrections

Similar questions

Q. A uniform electric field of

12

V / m

is along the positive

x

direction. Determine the potential difference in volts, between

x = 0 m

and

x = 3 m

Q. The potential at a point x (measured in m) due to some charges situated on the x-axis is given by V(x) = (20 /x

^{2}

- 4) volts. The electric field E at

x = 4 m

is given by :

Q. Electric field at a distance x from origin is given as

E = \frac{100}{x^{2}}

, then potential difference between points situated at x = 10 m and x = 20 m:

Q. The potential at a point x (measured in

μ m

) due to some charges situated on the x-axis is given by

V (x) = 20 / (x^{2} - 4) v o l t

The electric field E at

x = 4 μ m

is given by :

The potential at a point x (measured in $μ m$ ) due to some charges situated on the x-axis is given by $V (x) = 20 / (x^{2} - 4)$ volt. The electric field $E$ at $x = 4 μ m$ is given by:

Join BYJU'S Learning Program

An electric field (in V/m) is given by E=10x3. Determine the potential difference, in volts, between x=0m and x=3m.

The correct option is B 202.5We know that, E=−dVdxV=−∫30Edx=−∫3010x3dx=−10×344=202.5

An electric field (in $V / m$ ) is given by $E = 10 x^{3}$ . Determine the potential difference, in volts, between $x = 0 m$ and $x = 3 m$ .

The correct option is B $202.5$
We know that, $E = - \frac{d V}{d x}$

$V = - \int_{0}^{3} E d x = - \int_{0}^{3} 10 x^{3} d x = - 10 \times \frac{3^{4}}{4} = 202.5$