### Problem Description**Figure:**- A triangle with three charges at its vertices.- The vertices are labeled as \( q_1 \), \( q_2 \), and \( q_3 \).- The centroid of the triangle is labeled as point \( p \).- The sides of the triangle are denoted as \( a \) and \( b \).**Charges:**- \( q_1 = 28 \, \mu C \)- \( q_2 = 25 \, \mu C \)- \( q_3 = 30 \, \mu C \)**Triangle Dimensions:**- \( a = 20 \, \text{cm} \)- \( b = 9 \, \text{cm} \)**Tasks:****a) Work Calculation:**Calculate the work required to set up the arrangement if the charges were initially infinitely far apart and at rest. (Hint: Use the relation between work done by an external agent and total electric energy of the system).**b) Potential Calculation:**Calculate the potential at the centroid (point \( p \)) of the triangle.**c) Electric Flux Calculation:**Consider a spherical surface of radius \( r = 5a \) centered at \( p \). Find the total electric flux through the surface.**Formula Reference:**- Total Electric Flux: \(\Phi = \frac{Q_{\text{total}}}{\varepsilon_0}\)### ExplanationIn this setup, you are tasked with calculating the work involved in arranging the charges from an initial point where they are infinitely apart to the configuration in the figure, computing the electric potential at the centroid, and determining the electric flux through a specified spherical surface. Each part provides an opportunity to apply concepts related to electric forces, potential energy, and flux in the context of a triangular arrangement of charges.

Answered: Image /qna-images/answer/77b1e961-5eab-4545-b864-ff1c865d0847.jpg

Answered: a) Calculate how much work is required…

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