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A horizontal power line carries a current of 4.00×10³ A from south to north. Earth's magnetic field (55.0 µT) is directed toward the north and inclined downward at 65.0° to the horizontal. Find the magnitude of the magnetic force on 75.0 m of the line due to Earth's field.

A horizontal power line carries a current of 4.00×10³ A from south to north. Earth's magnetic field (55.0 µT) is directed toward the north and inclined downward at 65.0° to the horizontal. Find the magnitude of the magnetic force on 75.0 m of the line due to Earth's field.

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A horizontal power line carries a current of \(4.00 \times 10^3 \, \text{A}\) from south to north. Earth's magnetic field (\(55.0 \, \mu\text{T}\)) is directed toward the north and inclined downward at \(65.0^\circ\) to the horizontal. Find the magnitude of the magnetic force on \(75.0 \, \text{m}\) of the line due to Earth’s field.
Transcribed Image Text:A horizontal power line carries a current of \(4.00 \times 10^3 \, \text{A}\) from south to north. Earth's magnetic field (\(55.0 \, \mu\text{T}\)) is directed toward the north and inclined downward at \(65.0^\circ\) to the horizontal. Find the magnitude of the magnetic force on \(75.0 \, \text{m}\) of the line due to Earth’s field.
**Problem-Solving Framework for Physics** **I) Identify the Physical Quantities and Visualize the Situation** 1) **Given quantities:** *(List the quantities provided in the problem.)* 2) **Unknown quantities:** *(Identify the quantities that need to be determined.)* 3) **Sketch the situation given in the problem:** *(Draw a diagram visualizing the physical scenario.)* --- **II) Identify the Physics Principles Involved and the Corresponding Generic/Textbook Equations** 4) **Principle(s)/ Key idea(s):** *(Describe the main physics concepts applicable to the problem.)* 5) **Equations:** *(Write down the relevant equations that correspond to the key ideas.)* --- **III) Plan and Execute Your Solution** 6) **Analytic solution:** *(Detail the step-by-step process for solving the problem analytically.)* 7) **Numeric solution:** *(Insert numerical values into your equations for a specific solution.)* 8) **Final Answer:** *(State the final result of your calculations.)* --- **IV) Self Check** 9) **Unit check:** *(Ensure that units are consistent and correct throughout the solution.)* 10) **Number check:** *(Verify the calculations for accuracy and reasonableness.)*
Transcribed Image Text:**Problem-Solving Framework for Physics** **I) Identify the Physical Quantities and Visualize the Situation** 1) **Given quantities:** *(List the quantities provided in the problem.)* 2) **Unknown quantities:** *(Identify the quantities that need to be determined.)* 3) **Sketch the situation given in the problem:** *(Draw a diagram visualizing the physical scenario.)* --- **II) Identify the Physics Principles Involved and the Corresponding Generic/Textbook Equations** 4) **Principle(s)/ Key idea(s):** *(Describe the main physics concepts applicable to the problem.)* 5) **Equations:** *(Write down the relevant equations that correspond to the key ideas.)* --- **III) Plan and Execute Your Solution** 6) **Analytic solution:** *(Detail the step-by-step process for solving the problem analytically.)* 7) **Numeric solution:** *(Insert numerical values into your equations for a specific solution.)* 8) **Final Answer:** *(State the final result of your calculations.)* --- **IV) Self Check** 9) **Unit check:** *(Ensure that units are consistent and correct throughout the solution.)* 10) **Number check:** *(Verify the calculations for accuracy and reasonableness.)*
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