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Two point charges q and -2q are placed some distance d apart if the electric field at the location of q is E that location -2q is a) -E/2 b)-2E c)E/2 d)-4E?
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**Electric Field Due to a Point Charge**
The electric field (E) at a point in space due to a point charge (Q) is given by Coulomb's law:
E = k * Q / r^2
where k is the electrostatic constant (k = 9 * 10^9 Nm^2/C^2) and r is the distance between the point charge and the point where the electric field is measured.
**Electric Field Due to Charge q**
Let's consider the electric field at the location of charge q. The electric field at this point is produced by the -2q charge.
By applying Coulomb's law, we have:
E1 = k * (-2q) / d^2
Simplifying this expression, we get:
E1 = -2kq / d^2
**Electric Field Due to Charge -2q**
Now, let's consider the electric field at the location of charge -2q. The electric field at this point is produced by the q charge.
By applying Coulomb's law, we have:
E2 = k * q / d^2
Simplifying this expression, we get:
E2 = kq / d^2
**Comparing the Electric Fields**
We need to find the relationship between E1 and E2. Let's divide E1 by E2:
E1 / E2 = (-2kq / d^2) / (kq / d^2)
Simplifying this expression, we get:
E1 / E2 = -2
Therefore, the electric field at the location of charge q is twice the magnitude of the electric field at the location of charge -2q, but in the opposite direction.
**Answer:**
The electric field at the location of charge -2q is -E/2. Hence, the correct option is (a) -E/2.
The electric field (E) at a point in space due to a point charge (Q) is given by Coulomb's law:
E = k * Q / r^2
where k is the electrostatic constant (k = 9 * 10^9 Nm^2/C^2) and r is the distance between the point charge and the point where the electric field is measured.
**Electric Field Due to Charge q**
Let's consider the electric field at the location of charge q. The electric field at this point is produced by the -2q charge.
By applying Coulomb's law, we have:
E1 = k * (-2q) / d^2
Simplifying this expression, we get:
E1 = -2kq / d^2
**Electric Field Due to Charge -2q**
Now, let's consider the electric field at the location of charge -2q. The electric field at this point is produced by the q charge.
By applying Coulomb's law, we have:
E2 = k * q / d^2
Simplifying this expression, we get:
E2 = kq / d^2
**Comparing the Electric Fields**
We need to find the relationship between E1 and E2. Let's divide E1 by E2:
E1 / E2 = (-2kq / d^2) / (kq / d^2)
Simplifying this expression, we get:
E1 / E2 = -2
Therefore, the electric field at the location of charge q is twice the magnitude of the electric field at the location of charge -2q, but in the opposite direction.
**Answer:**
The electric field at the location of charge -2q is -E/2. Hence, the correct option is (a) -E/2.
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Two point charges q and -2q are placed some distance d apart if the electric field at the location of q is E that location -2q is a) -E/2 b)-2E c)E/2 d)-4E?
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Two point charges q and -2q are placed some distance d apart if the electric field at the location of q is E that location -2q is a) -E/2 b)-2E c)E/2 d)-4E? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two point charges q and -2q are placed some distance d apart if the electric field at the location of q is E that location -2q is a) -E/2 b)-2E c)E/2 d)-4E? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two point charges q and -2q are placed some distance d apart if the electric field at the location of q is E that location -2q is a) -E/2 b)-2E c)E/2 d)-4E?.
Two point charges q and -2q are placed some distance d apart if the electric field at the location of q is E that location -2q is a) -E/2 b)-2E c)E/2 d)-4E? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two point charges q and -2q are placed some distance d apart if the electric field at the location of q is E that location -2q is a) -E/2 b)-2E c)E/2 d)-4E? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two point charges q and -2q are placed some distance d apart if the electric field at the location of q is E that location -2q is a) -E/2 b)-2E c)E/2 d)-4E?.
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