Three point charges, q_(1),q_(2) and q3, lie along the x-axis at x=0,x=3.0cm and x=5.0 cm, respectively. Calculate the magnitude and the direction of the electric force on each of the three point charges wher q_(1)=+6.0mu C,q_(2)=+1.5mu C and q_(3)=-2.0mu C a. Draw the force diagram for this problem.

To calculate the magnitude and direction of the electric force on each of the three point charges, we can use Coulomb's law, which states that the electric force between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.The formula for Coulomb's law is: where:- F is the electric force between the charges- k is the Coulomb constant, which is approximately - and are the charges- r is the distance between the chargesLet's calculate the electric force on each charge:1. Electric force on : - Distance between and : - Distance between and : - Electric force on due to : - Electric force on due to : 2. Electric force on : - Distance between and : - Electric force on due to : 3. Electric force on : - Distance between and : - Distance between and : - Electric force on due to : - Electric force on due to : Now, let's draw the force diagram for this problem:``` q1 (+6.0 μC) q2 (+1.5 μC) q3 (-2.0 μC) ↑ ↑ ↑