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Net Coulomb force on one charge from other point charges at given positions

This type of question, asked 3 times: 26 Jul 2022, 13 Apr 2023, 8 Apr 2026 S2. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    26 Jul 2022

    117
    Three point charges of magnitude 5μC,0.16μC5\mu C,0.16\mu C and 0.3μC0.3\mu C are located at the vertices A,B,CA,B,C of a right angled triangle whose sides are AB=3 cmAB = 3\text{ }cm, BC=32 cmBC = 3\sqrt{2}\text{ }cm and CA=3 cmCA = 3\text{ }cm and point AA is the right angle corner. Charge at point A experiences ____\_\_\_\_ NN of electrostatic force due to the other two charges.
  2. Question 2

    13 Apr 2023

    113
    Three-point charges q,−2qq, - 2q and 2q2q are placed on xx-axis at a distance x=0,x=34Rx= 0,x=\frac{3}{4}R and x=Rx=R respectively from origin as shown. If q=2×10−6Cq = 2 \times10^{- 6}C and R=2 cmR = 2\text{ }cm, the magnitude of net force experienced by the charge −2q- 2q is____ N.
  3. Question 3

    8 Apr 2026 S2

    16
    Two point charges q1=3μCq_{1}= 3\mu C and q2=−4μCq_{2}= - 4\mu C are placed at points (2i^+3j^+3k^)(2\widehat{i}+ 3\widehat{j}+ 3\widehat{k}) and (i^+j^+k^)(\widehat{i}+\widehat{j}+\widehat{k}) respectively. Force on charge q2q_{2} is ____\_\_\_\_ N. (Take 14πϵ0=9×109\frac{1}{4\pi\epsilon_{0}}= 9 \times10^{9} SI Units)

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