A charge Q = 7.20×10-4 C is distributed uniformly along a rod of length 2L, exte

Question

A charge Q = 7.20×10-4 C is distributed uniformly along a rod of length 2L, extending from y = 12.9 cm to y = +12.9 cm, as shown in the diagram. A charge q = 4.40×10-6 C with the same sign as Q is placed at (D,0), where D = 41.0 cm. Consider the following statements. For each statement answer T if it is true, F if it is false, or C if the answer cannot be determined from the information provided. For example, if the first statement is true, the second cannot be determined, and the rest are false, enter TCFFFF.

1.The net force on q in the y direction is zero.

2.The magnitude of the force on charge q due to the small segment dy is dF = (kqQ/16L2r2)dy

3.The net force on q in the x direction is zero.

4.The total force on q is generally in the northeast arrow direction.

5.The charge on a segment of the rod of infinitesimal length dy is given by dQ = (Q/4L2)dy

Explanation / Answer

1 is true because by symmetry the y components will cancel out

Force in D (the point) is along the x axis,pointing E (eastwards).This means that the answer 3 is false and 4 is false

2 is false since dF = (kqQ/2Lr2 )dy.

5 False - As dQ = (Q/2 L)dy

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