**Problem 1:**A point charge \( q_1 = -5 \, \mu \text{C} \) is located at \((x = 0, y = 0.4 \, \text{m}, z = 0)\) and is moving with a speed of \(9 \times 10^4 \, \text{m/s}\). The charge \( q_1 \) is moving in the \(xy\)-plane, and its velocity \( \vec{v_1} \) makes a \(45^\circ \) angle with the \(y\)-axis as shown below. Another point charge \( q_2 = 8 \, \mu \text{C} \) is located at \((x = 0, y = 0, z = 0.3 \, \text{m})\) and is moving with a velocity of \(6.5 \times 10^{-4} \, \text{m/s}\) in the \(+z\)-direction.**Diagram Explanation:**The diagram illustrates a three-dimensional coordinate system with axes labeled \( x \), \( y \), and \( z \).- The charge \( q_1 \) (blue dot) is positioned in the \( xy\)-plane at \((x = 0, y = 0.4, z = 0)\) and is represented with a velocity vector \( \vec{v_1} \) that forms an angle of \( 45^\circ \) with the positive \( y\)-axis.- The charge \( q_2 \) (red dot) is located at \((x = 0, y = 0, z = 0.3)\) with a velocity vector \( \vec{v_2} \) pointing in the positive \( z\)-direction.**Questions:**(a) What is the magnetic field produced by \( q_1 \) at the location of \( q_2 \)?(b) What is the magnetic force exerted on \( q_2 \) by \( q_1 \)?

(a) The magnetic field due to moving charge is B=μ0q4πv→×r→r2 ............................. (1)…

A point charge q₁ = -5 µC located at (x = 0, y = 0.4 m, z = 0) is moving with speed 9 × 104 m/s. The charge q₁ is moving in the xy-plane, and its velocity ₁ makes a 45° angle with the y-axis as shown below. Another point charge q2 = 8 μC is located at (x = 0, y = 0, z = 0.3 m) and is moving with velocity 6.5 x 10-4 m/s in the +z-direction. Z 72

A point charge q₁ = -5 µC located at (x = 0, y = 0.4 m, z = 0) is moving with speed 9 × 104 m/s. The charge q₁ is moving in the xy-plane, and its velocity ₁ makes a 45° angle with the y-axis as shown below. Another point charge q2 = 8 μC is located at (x = 0, y = 0, z = 0.3 m) and is moving with velocity 6.5 x 10-4 m/s in the +z-direction. Z 72