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LA-- Figure depicts two charge carying rods of charge QA = -48 nC and Q =-30 nC. Rod A has length LA = 47 cm and Rod B has length LR = 24 cm respectively. Rod Aat a distance d= 4 cm away from the origin of the coordinate system. Find the net electric field due to these two charged rods at point P, which is lying on the symmetry axis of both the rods. b) Find the net electric field at point P due to both the charged rods. c) If an electron is placed at point P, find the magnitude of force on it. magnitude of force k----

LA-- Figure depicts two charge carying rods of charge QA = -48 nC and Q =-30 nC. Rod A has length LA = 47 cm and Rod B has length LR = 24 cm respectively. Rod Aat a distance d= 4 cm away from the origin of the coordinate system. Find the net electric field due to these two charged rods at point P, which is lying on the symmetry axis of both the rods. b) Find the net electric field at point P due to both the charged rods. c) If an electron is placed at point P, find the magnitude of force on it. magnitude of force k----

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### Educational Content: #### Electric Field Due to Charge-Carrying Rods The image presents two charged rods: - **Rod A**: - Charge (\(Q_A\)): -48 nC - Length (\(L_A\)): 47 cm - Positioned along the X-axis - **Rod B**: - Charge (\(Q_B\)): -30 nC - Length (\(L_B\)): 24 cm - Positioned along the Y-axis, parallel to the Y-axis Point \(P\) lies on the symmetry axis of both rods, and is positioned at a distance \(d = 4\) cm from the origin along the X-axis. #### Instructions: **b)** Calculate the net electric field at point \(P\) due to both charged rods. **c)** Determine the magnitude of the force on an electron placed at point \(P\). ##### Diagram Explanation: - The diagram shows two rods—one horizontal (red) and one vertical (purple). - The horizontal rod \(A\) is at a distance \(d\) to the right of the origin and extends further in the positive X-direction. - The vertical rod \(B\) extends upwards along the Y-axis from the origin. Each rod generates an electric field that affects point \(P\). Calculations involve using principles of electromagnetism to sum the contributions of these fields. This setup introduces concepts of electric fields, forces, and the superposition principle in physics.
Transcribed Image Text:### Educational Content: #### Electric Field Due to Charge-Carrying Rods The image presents two charged rods: - **Rod A**: - Charge (\(Q_A\)): -48 nC - Length (\(L_A\)): 47 cm - Positioned along the X-axis - **Rod B**: - Charge (\(Q_B\)): -30 nC - Length (\(L_B\)): 24 cm - Positioned along the Y-axis, parallel to the Y-axis Point \(P\) lies on the symmetry axis of both rods, and is positioned at a distance \(d = 4\) cm from the origin along the X-axis. #### Instructions: **b)** Calculate the net electric field at point \(P\) due to both charged rods. **c)** Determine the magnitude of the force on an electron placed at point \(P\). ##### Diagram Explanation: - The diagram shows two rods—one horizontal (red) and one vertical (purple). - The horizontal rod \(A\) is at a distance \(d\) to the right of the origin and extends further in the positive X-direction. - The vertical rod \(B\) extends upwards along the Y-axis from the origin. Each rod generates an electric field that affects point \(P\). Calculations involve using principles of electromagnetism to sum the contributions of these fields. This setup introduces concepts of electric fields, forces, and the superposition principle in physics.
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