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A rectangular loop of wire sits partially in a uniform magnetic field indicated by the array of dots in the diagram. The resistance of the loop is 8.00 Ohms. The magnitude of the magnetic field is 0.360 T. The width and height of the loop are w = 30.0 cm and h = 12.0 cm. Suppose the loop is pulled to the right with a speed v. a. Apply the Lorentz Force Law to the vertical segment of wire at the left end of the rectangle to find the direction of the magnetic force on positively charged "current particles" in the wire. From this, determine the direction of the induced current in the loop. b. If the magnitude of the induced current in the wire is 1.35 mA, calculate the size of the necessary induced voltage (sometimes written as induced EMF, E) to push the current around the loop. c. Apply the motional version of Faraday's Law and calculate a numerical value for the speed v. Don't forget units.

A rectangular loop of wire sits partially in a uniform magnetic field indicated by the array of dots in the diagram. The resistance of the loop is 8.00 Ohms. The magnitude of the magnetic field is 0.360 T. The width and height of the loop are w = 30.0 cm and h = 12.0 cm. Suppose the loop is pulled to the right with a speed v. a. Apply the Lorentz Force Law to the vertical segment of wire at the left end of the rectangle to find the direction of the magnetic force on positively charged "current particles" in the wire. From this, determine the direction of the induced current in the loop. b. If the magnitude of the induced current in the wire is 1.35 mA, calculate the size of the necessary induced voltage (sometimes written as induced EMF, E) to push the current around the loop. c. Apply the motional version of Faraday's Law and calculate a numerical value for the speed v. Don't forget units.

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6. A rectangular loop of wire sits partially in a uniform magnetic field indicated by the array of dots in the diagram. The resistance of the loop is 8.00 Ohms. The magnitude of the magnetic field is 0.360 T. The width and height of the loop are \( w = 30.0 \, \text{cm} \) and \( h = 12.0 \, \text{cm} \). Suppose the loop is pulled to the right with a speed \( v \). a. Apply the Lorentz Force Law to the vertical segment of wire at the left end of the rectangle to find the direction of the magnetic force on positively charged “current particles” in the wire. From this, determine the direction of the induced current in the loop. b. If the magnitude of the induced current in the wire is 1.35 mA, calculate the size of the necessary induced voltage (sometimes written as induced EMF, \( \mathcal{E} \)) to push the current around the loop. c. Apply the motional version of Faraday’s Law and calculate a numerical value for the speed \( v \). Don’t forget units. *Diagram Description:* - The diagram shows a rectangle representing the loop of wire. The loop has dimensions \( w \) (width) and \( h \) (height). - An array of dots surrounds the loop, indicating a uniform magnetic field directed out of the page. - An arrow labeled \( v \) suggests the loop is moving to the right.
Transcribed Image Text:6. A rectangular loop of wire sits partially in a uniform magnetic field indicated by the array of dots in the diagram. The resistance of the loop is 8.00 Ohms. The magnitude of the magnetic field is 0.360 T. The width and height of the loop are \( w = 30.0 \, \text{cm} \) and \( h = 12.0 \, \text{cm} \). Suppose the loop is pulled to the right with a speed \( v \). a. Apply the Lorentz Force Law to the vertical segment of wire at the left end of the rectangle to find the direction of the magnetic force on positively charged “current particles” in the wire. From this, determine the direction of the induced current in the loop. b. If the magnitude of the induced current in the wire is 1.35 mA, calculate the size of the necessary induced voltage (sometimes written as induced EMF, \( \mathcal{E} \)) to push the current around the loop. c. Apply the motional version of Faraday’s Law and calculate a numerical value for the speed \( v \). Don’t forget units. *Diagram Description:* - The diagram shows a rectangle representing the loop of wire. The loop has dimensions \( w \) (width) and \( h \) (height). - An array of dots surrounds the loop, indicating a uniform magnetic field directed out of the page. - An arrow labeled \( v \) suggests the loop is moving to the right.
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