Question

(II) A power line carries a current of 95 A west along the tops of 8.5-m-high poles. ($a$) What is the magnitude and direction of the magnetic field produced by this wire at the ground directly below? How does this compare with the Earth's magnetic field of about $\frac{1}{2}$G? ($b$) Where would the wire's magnetic field cancel the Earth's field?

          (II) A power line carries a current of 95 A west along the tops of 8.5-m-high poles. ($a$) What is the magnitude and direction of the magnetic field produced by this wire at the ground directly below? How does this compare with the Earth's magnetic field of about $\frac{1}{2}$G? ($b$) Where would the
wire's magnetic field cancel the Earth's field?

Added by Linda R.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Prabhu Ramji

01/13/2022

Step 1

Given: Current (I) = 95 A Distance from wire to point P (r) = 8.5 m Using the formula for magnetic field produced by a current-carrying wire: \[ B = \frac{\mu_0 I}{2\pi r} \] Substitute the given values: \[ B = \frac{(4\pi \times 10^{-7} T \cdot m/A)(95 A)}{2\pi Show more…

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(II) A power line carries a current of 95 A west along the tops of 8.5-m-high poles. ($a$) What is the magnitude and direction of the magnetic field produced by this wire at the ground directly below? How does this compare with the Earth's magnetic field of about $\frac{1}{2}$G? ($b$) Where would the wire's magnetic field cancel the Earth's field?