a)Find the vector that points from q1to q6 and call it r⃗ 1,6. x component of the vector y component of the vector b) Calculate the coulomb force on q6 due to q1 in unit vector notation and call it F⃗ 1,6. x component of the force y component of the force c)Find the vector that points from q3to q6 and call it r⃗ 3,6. x component of the vector y component of the vector d)Calculate the coulomb force on q6due to q3 in unit vector notation and call it F⃗ 3,6. x component of the force y component of the force e)Find the vector that points from q4to q6 and call it r⃗ 4,6. x component of the vector y component of the vector f)Calculate the coulomb force on q6due to q4 in unit vector notation and call it F⃗ 4,6. x component of the force y component of the force g)Calculate the Net Electric force on q6due to all other charges. x component of the force y component of the force
Use the following constants if necessary. Coulomb constant, k=8.987×10^9N⋅m2/C2. Vacuum permittivity, ϵ0=8.854×10^−12F/m. Magnitude of the Charge of one electron, e=−1.60217662×10^−19C. Mass of one electron, me=9.10938356×10^−31kg. Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb.
Suppose you have 5-point charges q1 to q5 distributed along a semi-circle maintaining equal distance. The charge q6 is on the center of the circle which is also the origin of given coordinate system. The radius of the semi-circle is R=18cm and the magnitude of the charges are as follows: q1=q5=33μC, q2=q4=27μC and q3=q6=−33μC.
- a)Find the vector that points from q1to q6 and call it r⃗ 1,6.
x component of the vector
y component of the vector b) Calculate the coulomb force on q6 due to q1 in unit vector notation and call it F⃗ 1,6.
x component of the force
y component of the force
c)Find the vector that points from q3to q6 and call it r⃗ 3,6.
x component of the vector
y component of the vector
- d)Calculate the coulomb force on q6due to q3 in unit vector notation and call it F⃗ 3,6.
x component of the force
y component of the force
- e)Find the vector that points from q4to q6 and call it r⃗ 4,6.
x component of the vector
y component of the vector
- f)Calculate the coulomb force on q6due to q4 in unit vector notation and call it F⃗ 4,6.
x component of the force
y component of the force
- g)Calculate the Net Electric force on q6due to all other charges.
x component of the force
y component of the force
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