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Two point charges q and 2q are placed some distance apart. If the electric field at the location of q be E, then that at the location of 2q will be a) 3E b) E/2 c) E d) None of these Explain.
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Two point charges q and 2q are placed some distance apart. If the elec...
Answer is none of these since charge of source charge is not specified.
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Two point charges q and 2q are placed some distance apart. If the elec...
Electric Field at the Location of q and 2q

Definition: The electric field at a point in space is defined as the force per unit charge acting on a small test charge placed at that point.

Formula: Electric field E = F/q, where F is the force and q is the test charge.

Electric Field at the Location of q

The electric field at the location of q is given by E = kq/r^2, where k is the Coulomb constant, q is the charge of q, and r is the distance between q and the point of interest.

Electric Field at the Location of 2q

The electric field at the location of 2q can be determined using the superposition principle. According to this principle, the electric field at any point due to a system of charges is equal to the vector sum of the electric fields at that point due to each individual charge.

Let's assume that q is located at the origin and 2q is located at a distance r from q along the x-axis. The electric field at the location of 2q can be expressed as:

Etotal = E1 + E2

where E1 is the electric field at the location of 2q due to q, and E2 is the electric field at the location of 2q due to 2q.

E1 = kq/r^2 (due to q)

E2 = k(2q)/(r^2) = 2kq/r^2 (due to 2q)

Etotal = E1 + E2 = kq/r^2 + 2kq/r^2 = 3kq/r^2

Therefore, the electric field at the location of 2q is 3 times the electric field at the location of q.

Answer: a) 3E
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Two point charges q and 2q are placed some distance apart. If the electric field at the location of q be E, then that at the location of 2q will be a) 3E b) E/2 c) E d) None of these Explain.
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