Three point charges Q1, Q2, and Q3 are arranged to form an equilateral triangle
ID: 1918748 • Letter: T
Question
Three point charges Q1, Q2, and Q3 are arranged to form an equilateral triangle as shown in the figure below. The signs of these charges are unknown. (a) A test charge Qtest is now placed at point A. If the net force on the test charge is zero, what might be the signs of Q1, Q2, and Q3? Pick the correct option(s). (Select all that apply.) Q1, Q2, and Q3 are all positive. Q1, Q2, and Q3 are all negative. Q1 and Q2 are positive, and Q3 is negative. Q1 is positive, and Q2 and Q3 are negative. Q1 is positive, Q2 is negative, and Q3 is positive. Q1 is negative, and Q2 and Q3 are positive. (b) Repeat part (a), but now the test charge is placed at point B. (Select all that apply.) Q1, Q2, and Q3 are all positive. Q1, Q2, and Q3 are all negative. Q1 and Q2 are positive, and Q3 is negative. Q1 is positive, and Q2 and Q3 are negative. Q1 is positive, Q2 is negative, and Q3 is positive. Q1 is negative, and Q2 and Q3 are positive. (c) Repeat part (a) again, but with the test charge at point C. (Select all that apply.) Q1, Q2, and Q3 are all positive. Q1, Q2, and Q3 are all negative. Q1 and Q2 are positive, and Q3 is negative. Q1 is positive, and Q2 and Q3 are negative. Q1 is positive, Q2 is negative, and Q3 is positive. Q1 is negative, and Q2 and Q3 are positive.
Explanation / Answer
a) since the net field at the point a is 0 so the charges q2 and q3 have to be of the same sign and q1 has to be of a different sign. so, the options are q1 is negative and q3 and q2 are positive q2 is positive, q2 and q3 are negative. b)since the charge is placed at the center of a equilateral triangle and the net force on it is 0 so all the charges have to be of the same sign so the correct options are, q1,q2,q3 all positive and q1,q2,q3 all negative c)this is a similar situation as A, so the options would be q1 is negative and q3 and q2 are positive q2 is positive, q2 and q3 are negative.
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