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Two identical small charged spheres, eac...

Two identical small charged spheres, each having a mass m, hang in equilibrium as shown in fig. the ligth of each string is l, and the angle made by any string with the vertical is `theta`. Find the magnitude of the charge on each sphere.

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To solve the problem of finding the magnitude of the charge on each of the two identical small charged spheres hanging in equilibrium, we can follow these steps: ### Step-by-step Solution: 1. **Identify the Forces Acting on the Spheres:** Each sphere experiences three main forces: - The gravitational force (weight) acting downward: \( F_g = mg \) - The tension in the string (\( T \)) acting along the string at an angle \( \theta \) to the vertical. ...
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Two identical, small, charged spheres, each having a mass of 4.0xx10^(-2) kg hang in equilibrium as shown in Fig. 22-10a. The length of each string is 1.5m and the angle theta is 37.0^(@) . Find the magnitude of the charge on each sphere.

Two identically charged spherical objects are suspended from a common point , using two different threads of equal length. Due to repulsion between charges both strings are maintaining a constant angle with the vertical, and both the objects are in equilibrium. Use m as mass , L as length of each thread. The angle made by each thread with the vertical is theta . Calculate the charge on objects.

Knowledge Check

  • Three identical point charges, each of mass m and charge q, hang from three strings as shown in fig. The value of q in term of m, L, and q is

    A
    `q=sqrt((16//5)pi epsilon_(0)mg L^(2)sin^(2)theta tan theta)`
    B
    `q=sqrt((16//15)pi epsilon_(0)mg L^(2)sin^(2)theta tan theta)`
    C
    `q=sqrt((15//16)pi epsilon_(0)mg L^(2)sin^(2)theta tan theta)`
    D
    none of these

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