wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Three point charges q1=1 μC,q2=2 μC and q3=3 μC are placed at (1 m,0,0) and (0,2 m,0) and (0,0,3 m) respectively. The electric potential at origin is

A
9×103 J/C
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
3×103 J/C
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
15×103 J/C
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
12×103 J/C
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 9×103 J/C
We know potential due to a system of point charges at any point P is given by,
VP = kq1r1+kq2r2+kq3r3 ....(i)

Here, q1=1 μC is at placed at (1 m,0,0)

Therefore the distance of charge q1 from origin (0,0,0) is,
r1=(10)2+(00)2+(00)2
[r=(x2x1)2+(y2y1)2+(z2z1)2 ]
or, r1=1 m
similarly, q2=2 μC and r2=2 m
q3=3 μC and r3=3 m
From Eq. (i) the net potential at point P is,
VP=9×109[1×1061+(2×106)2+(3×106)3]
VP=9×103 J/C

Why this question?Concept: Distance between any two points A(x1,y1,z1) and B(x2, y2, z2)is given by r=(x2x1)2+(y2y21)+(z2z1)2

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Conductors, Insulators and Methods of Charging
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon