Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app

Olympiad workbook

Exam: Olympiad workbook
Subject: NSEP
Chapter: Electrostatics

Olympiad workbook · NSEP · Electrostatics

A charge q is situated at the origin. Let E_ A , E_ B and E_ C be...

A charge

q

is situated at the origin. Let

\mathbf{E}_{\mathrm{A}}, \mathbf{E}_{\mathrm{B}}

and

\mathbf{E}_{\mathrm{C}}

be the electric fields at the points

\mathrm{A}(2,-3,-1), \mathrm{B}(-1,-2,4)

and

\mathrm{C}(2,-4,1)

. Therefore,

Options

A $\mathbf{E}_{\mathrm{A}} \perp \mathbf{E}_{\mathrm{B}}$
Bno work is done in moving a test charge $q_0$ from B to C .
C $2\left|\mathbf{E}_{\mathrm{A}}\right|=3\left|\mathbf{E}_{\mathrm{B}}\right|$
D $\mathbf{E}_{\mathrm{B}}=-\mathbf{E}_{\mathrm{C}}$

Correct answer

C. $2\left|\mathbf{E}_{\mathrm{A}}\right|=3\left|\mathbf{E}_{\mathrm{B}}\right|$

Step-by-step solution

No Solution

Practice Electrostatics on Quantrex Academy →

More from Electrostatics

Two particles of masses m_1 and m_2 carry identical charges. Starting from rest they are… Olympiad workbook The breakdown field for air is about 2 × 10^6 volt / m . Therefore, the maximum charge… Olympiad workbook A uniform spherical charge distribution of radius R produces electric fields E _1 and E… Olympiad workbook A cylinder on whose surfaces there is a vertical electric field of varying magnitude as… Olympiad workbook An electron is injected directly towards the centre of a large metal plate having a… Olympiad workbook An isolated metallic object is charged in vacuum to a potential V_0 using a suitable… Olympiad workbook Acidified water from certain reservoir kept at a potential V falls in the form of small… Olympiad workbook A hollow conducting sphere of radius 15 cm has a uniform surface charge density +3.2 μ C… Olympiad workbook Full Electrostatics list All Olympiad workbook PYQs