On the three corners of a square, three charges of equal magnitude are placed. The force acting between q1 and q3 is F13 and between q1 and q2 is F12. Find the ratio of F12F13.

According to coulomb's law,F=kq1q2r2⇒F12=kq2a2⇒F13=kq2(2a)2where a is the side of cube and q is the charge on them⇒F12F13=kq2a2×(2a)2kq2=21

On the three corners of a square, three charges of equal magnitude are placed. The force acting between q1 and q3 is F13 and between q1 and q2 is F12. Find the ratio of F12F13.

According to coulomb's law,F=kq1q2r2⇒F12=kq2a2⇒F13=kq2(2a)2where a is the side of cube and q is the charge on them⇒F12F13=kq2a2×(2a)2kq2=21

AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

On the three corners of a square, three charges of equal magnitude are placed. The force acting between q₁ and q₃ is F₁₃ and between q₁ and q₂ is F₁₂. Find the ratio of $\frac{F_{12}}{F_{13}} .$

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

$\frac{1}{2}$

$\frac{2}{1}$

$\frac{1}{\sqrt{2}}$

$\frac{\sqrt{2}}{1}$

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

According to coulomb's law,

$F = \frac{{kq}_{1} q_{2}}{r^{2}}$

$\Rightarrow F_{12} = \frac{{kq}^{2}}{a^{2}}$

$\Rightarrow F_{13} = \frac{{kq}^{2}}{(\sqrt{2} a)^{2}}$

where a is the side of cube and q is the charge on them

$\Rightarrow \frac{F_{12}}{F_{13}} = \frac{{kq}^{2}}{a^{2}} \times \frac{(\sqrt{2} a)^{2}}{{kq}^{2}} = \frac{2}{1}$

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

best study material, now at your finger tips!

live classes
progress tracking
24x7 mentored guidance
study plan analysis

download the app

On the three corners of a square, three charges of equal magnitude are placed. The force acting between q1 and q3 is F13 and between q1 and q2 is F12. Find the ratio of F12F13.

Best Courses for You

Detailed Solution

courses

Get Expert Academic Guidance – Connect with a Counselor Today!

best study material, now at your finger tips!

download the app

Download the App

On the three corners of a square, three charges of equal magnitude are placed. The force acting between q₁ and q₃ is F₁₃ and between q₁ and q₂ is F₁₂. Find the ratio of $\frac{F_{12}}{F_{13}} .$