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

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**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 \( \Omega \)).

\[ \boxed{} \, \Omega \]
Transcribed Image Text:**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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