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An infinite line of positive charge lies along the y axis, with charge density a = 2.20 µC/m. A dipole is placed with its center along the x axis at x = 23.0 cm. The dipole consists of two charges +10.0 pC separated by 2.00 cm. The axis of the dipole makes an angle of 40.0° with the x axis, and the positive charge is farther from the line of charge than the negative charge. Find the net force exerted on the dipole. F = N

An infinite line of positive charge lies along the y axis, with charge density a = 2.20 µC/m. A dipole is placed with its center along the x axis at x = 23.0 cm. The dipole consists of two charges +10.0 pC separated by 2.00 cm. The axis of the dipole makes an angle of 40.0° with the x axis, and the positive charge is farther from the line of charge than the negative charge. Find the net force exerted on the dipole. F = N

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An infinite line of positive charge lies along the y axis, with charge density 

? = 2.20 µC/m.

 A dipole is placed with its center along the x axis at 

x = 23.0 cm.

 The dipole consists of two charges ±10.0 µC separated by 2.00 cm. The axis of the dipole makes an angle of 40.0° with the x axis, and the positive charge is farther from the line of charge than the negative charge. Find the net force exerted on the dipole.

**Problem Statement:** An infinite line of positive charge lies along the y-axis, with a charge density \(\lambda = 2.20 \, \mu\text{C/m}\). A dipole is placed with its center along the x-axis at \(x = 23.0 \, \text{cm}\). The dipole consists of two charges \( \pm 10.0 \, \mu\text{C} \) separated by \(2.00 \, \text{cm}\). The axis of the dipole makes an angle of \(40.0^\circ\) with the x-axis, and the positive charge is farther from the line of charge than the negative charge. Find the net force exerted on the dipole. \[ \vec{F} = \, \_\_\_\_ \, \text{N} \] **Explanation:** - **Line of Charge:** The line of charge is along the y-axis with a charge density (\(\lambda\)) of \(2.20 \, \mu\text{C/m}\). - **Dipole:** Consists of two charges (\(+10.0 \, \mu\text{C}\) and \(-10.0 \, \mu\text{C}\)) separated by \(2.00 \, \text{cm}\). - **Position:** The dipole's center is on the x-axis at \(x = 23.0 \, \text{cm}\). - **Orientation:** The dipole's axis forms a \(40.0^\circ\) angle with the x-axis. - **Configuration:** The positive charge is positioned farther from the y-axis than the negative charge. - **Objective:** Calculate the net force on the dipole.
Transcribed Image Text:**Problem Statement:** An infinite line of positive charge lies along the y-axis, with a charge density \(\lambda = 2.20 \, \mu\text{C/m}\). A dipole is placed with its center along the x-axis at \(x = 23.0 \, \text{cm}\). The dipole consists of two charges \( \pm 10.0 \, \mu\text{C} \) separated by \(2.00 \, \text{cm}\). The axis of the dipole makes an angle of \(40.0^\circ\) with the x-axis, and the positive charge is farther from the line of charge than the negative charge. Find the net force exerted on the dipole. \[ \vec{F} = \, \_\_\_\_ \, \text{N} \] **Explanation:** - **Line of Charge:** The line of charge is along the y-axis with a charge density (\(\lambda\)) of \(2.20 \, \mu\text{C/m}\). - **Dipole:** Consists of two charges (\(+10.0 \, \mu\text{C}\) and \(-10.0 \, \mu\text{C}\)) separated by \(2.00 \, \text{cm}\). - **Position:** The dipole's center is on the x-axis at \(x = 23.0 \, \text{cm}\). - **Orientation:** The dipole's axis forms a \(40.0^\circ\) angle with the x-axis. - **Configuration:** The positive charge is positioned farther from the y-axis than the negative charge. - **Objective:** Calculate the net force on the dipole.
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