GATE EE 2024 Set 1 — Question 51
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Electromagnetic Fields → Electrostatics → Coulomb's Law & E-Field
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Question
In the coordinate system, three point-charges , , and are located in free space at , , and , respectively. The value of for the electric field to be zero at is ______________ (rounded off to 1 decimal place).
Correct answer
-1.7 to -1.5
Solution
Let . The electric field at is the sum of fields from at , at , and at .
By symmetry, the x-components of fields from and cancel out. The y-component of their combined field is:
The field from at is along the y-axis:
For total field to be zero:
Rounded to 1 decimal place, .
By symmetry, the x-components of fields from and cancel out. The y-component of their combined field is:
The field from at is along the y-axis:
For total field to be zero:
Rounded to 1 decimal place, .
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