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Electric Charges And Fields

Question

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Point charges having values + 1 μC, – 5 μC and + 2 μC are placed at the corners A, B and C respectively of an equilateral triangle of side 2 m in free space. Determine the magnitude of intensity at the point D midway between A and C.

Solution

Given, Q_A= $1 μ C = 1 \times 10^{- 6} C$ , Q_{B= $- 5 μ C = - 5 \times 10^{- 6} C$}Q_{C= $2 μ C = 2 \times 10^{- 6} C$}and, the side of an equilateral triangle= 2m

We have to find the magnitude of intensity at point D lying midway between A and C.

The intensity E_A at D due to charge at A is given by

If E be the magnitude of the resultant intensity, then

$E = \sqrt{{(9 \times 10^{3})}^{2} + {(15 \times 10^{3})}^{2} N C^{- 1}} = 1.749 \times 104 N C^{- 1}$

Some More Questions From Electric Charges and Fields Chapter

Figure shows tracks of three charged particles in a uniform electrostatic field. Give the signs of the three charges. Which particle has the highest charge to mass ratio?

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Electric Charges And Fields

Point charges having values + 1 μC, – 5 μC and + 2 μC are placed at the corners A, B and C respectively of an equilateral triangle of side 2 m in free space. Determine the magnitude of intensity at the point D midway between A and C.

Some More Questions From Electric Charges and Fields Chapter

Figure shows tracks of three charged particles in a uniform electrostatic field. Give the signs of the three charges. Which particle has the highest charge to mass ratio?

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