**Mass** \( m = 1.30 \, \text{kg} \) is suspended vertically at rest by an insulating string connected to a circuit partially immersed in a magnetic field as in the figure below. The magnetic field has magnitude \( B = 2.40 \, \text{T} \) and the length \( \ell = 0.550 \, \text{m} \).The diagram shows a circuit with a mass \( m \) suspended by an insulating string. The circuit includes a resistor \( R \), an emf source \( \mathcal{E} \), and a current \( I \) flowing through the circuit. The upper portion of the circuit is within a magnetic field, represented by green crosses indicating the field direction is into the page. The force on the mass is indicated by an arrow pointing downward.**HINT**(a) Find the current \( I \) (in A).\[ \boxed{} \, \text{A} \](b) If \( \mathcal{E} = 115 \, \text{V} \), find the required resistance \( R \) (in \( \Omega \)).\[ \boxed{} \, \Omega \]

(a) The magnetic force experienced by the loop must be sufficient enough to balance the weight of the suspended mass. Mathematically.Substitute the know values and solve for the current as:(b) From Ohm’s law:Substitute the know values and solve as:

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Mass m = 1.30 kg is suspended vertically at rest by an insulating string connected to a circuit partially immersed in a magnetic field as in the figure below. The magnetic field has magnitude B = 2.40 T and the length { = 0.550 m. R HINT (a) Find the current I (in A). (b) If E = 115 V, find the required resistance R (in 0). Ω

Mass m = 1.30 kg is suspended vertically at rest by an insulating string connected to a circuit partially immersed in a magnetic field as in the figure below. The magnetic field has magnitude B = 2.40 T and the length { = 0.550 m. R HINT (a) Find the current I (in A). (b) If E = 115 V, find the required resistance R (in 0). Ω

College Physics

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Ferromagnetism

Ferromagnetism is a mechanism by which some materials show magnetic properties. Iron and magnetite, an oxide of iron, are two naturally occurring materials that show the property of ferromagnetism. The word ferromagnetism is derived from the Latin name of iron, "Ferrum" as it was the first observed material to show such property. The property of ferromagnetism is shown by only a few substances such as iron, nickel, cobalt, and their alloys. Some transition metals and alloys of rare-earth metals also show ferromagnetism.

Question

**Mass** \( m = 1.30 \, \text{kg} \) is suspended vertically at rest by an insulating string connected to a circuit partially immersed in a magnetic field as in the figure below. The magnetic field has magnitude \( B = 2.40 \, \text{T} \) and the length \( \ell = 0.550 \, \text{m} \).

The diagram shows a circuit with a mass \( m \) suspended by an insulating string. The circuit includes a resistor \( R \), an emf source \( \mathcal{E} \), and a current \( I \) flowing through the circuit. The upper portion of the circuit is within a magnetic field, represented by green crosses indicating the field direction is into the page. The force on the mass is indicated by an arrow pointing downward.

**HINT**

(a) Find the current \( I \) (in A).

\[ \boxed{} \, \text{A} \]

(b) If \( \mathcal{E} = 115 \, \text{V} \), find the required resistance \( R \) (in \( \Omega \)).

\[ \boxed{} \, \Omega \]

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