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give the calculation step by step as like as full answer in 2 steps and explanation block in every steps. And final answer summary Definition of Parameters Solutions are reviewed by our quality team mainly based on 6 parameters: Relevancy, Completeness, Accuracy, Clarity, Structure, and Voice. Relevancy: This indicates how closely a solution aligns with the question asked. It evaluates whether the solution addresses the core aspects of the question and provides appropriate information. Completeness: This indicates how thoroughly the solution addresses various asks in the question. It evaluates whether the solution has all essential information like calculations, diagrams, procedural steps, & explanatory statements in the solution. Accuracy: It refers to how correct the provided solution is for the given question/s. This evaluates the correctness of the information/concept/method followed in the solution. Clarity: Clarity refers to how easily the solution can be understood by the student. This evaluates the language complexity, readability, and redundancy of a solution. Structure: Structure refers to how the solution is organized and presented in relation to the requirements of the question. This evaluates the necessity of steps and their effectiveness in helping the student grasp how to arrive at the solution. Voice: This refers to the language and tone of the solution. This primarily evaluates whether a solution sounds human or overly non-human (bot-like). don't use we, then,:.the magnetic field at the center of the loca? {Give the magnitude in pT and ( Ie ) Ns . —— Jor ny = ——) [RPp—

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give the calculation step by step as like as full answer in 2 steps and explanation block in every steps. And final answer summary Definition of Parameters Solutions are reviewed by our quality team mainly based on 6 parameters: Relevancy, Completeness, Accuracy, Clarity, Structure, and Voice. Relevancy: This indicates how closely a solution aligns with the question asked. It evaluates whether the solution addresses the core aspects of the question and provides appropriate information. Completeness: This indicates how thoroughly the solution addresses various asks in the question. It evaluates whether the solution has all essential information like calculations, diagrams, procedural steps, & explanatory statements in the solution. Accuracy: It refers to how correct the provided solution is for the given question/s. This evaluates the correctness of the information/concept/method followed in the solution. Clarity: Clarity refers to how easily the solution can be understood by the student. This evaluates the language complexity, readability, and redundancy of a solution. Structure: Structure refers to how the solution is organized and presented in relation to the requirements of the question. This evaluates the necessity of steps and their effectiveness in helping the student grasp how to arrive at the solution. Voice: This refers to the language and tone of the solution. This primarily evaluates whether a solution sounds human or overly non-human (bot-like). don't use we, then,:.Uploaded Imagethe magnetic field at the center of the loca? {Give the magnitude in pT and ( Ie ) Ns . —— Jor ny = ——) [RPp—

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Asked by: Maddamsetti jyothsna
Created at: 2025-05-31 21:56:13

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### **Step 1: Identify the Formula and Substitute Given Values** **Explanation:** The magnetic field at the center of a circular loop of radius \( R \) carrying current \( I \) is given by: \[ B = \frac{\mu_0 I}{2R} \] where - \( \mu_0 = 4\pi \times 10^{-7} \ \mathrm{T \cdot m/A} \) (permeability of free space) - \( I = 2.40 \ \mathrm{A} \) (current) - \( R = 29.0 \ \mathrm{cm} = 0.290 \ \mathrm{m} \) (radius, converted to meters) **Calculation:** \[ B = \frac{4\pi \times 10^{-7} \times 2.40}{2 \times 0.290} \] --- ### **Step 2: Calculate the Magnetic Field Magnitude and Direction** **Explanation:** First, calculate the denominator and numerator separately for clarity: - Numerator: \( 4\pi \times 10^{-7} \times 2.40 = 3.02 \times 10^{-6} \) - Denominator: \( 2 \times 0.290 = 0.580 \) Now, divide: \[ B = \frac{3.02 \times 10^{-6}}{0.580} \approx 5.21 \times 10^{-6} \ \mathrm{T} \] Convert tesla to microtesla (\(1 \ \mathrm{T} = 10^{6} \ \mathrm{\mu T}\)): \[ B = 5.21 \times 10^{-6} \ \mathrm{T} \times 10^{6} \ \frac{\mathrm{\mu T}}{\mathrm{T}} = 5.21 \ \mathrm{\mu T} \] **Direction:** Using the right-hand rule, for a current flowing counterclockwise (as shown), the magnetic field at the center points **out of the screen**. --- ### **Final Answer Summary** - **Magnitude:** \( \boxed{5.21 \ \mathrm{\mu T}} \) - **Direction:** Out of the screen --- **Parameter Review:** - **Relevancy:** The solution addresses the calculation of magnetic field at the loop's center. - **Completeness:** Each step, including conversion and direction, is shown. - **Accuracy:** The correct formula and unit conversions are used. - **Clarity:** Steps are distinct, with explanations. - **Structure:** Two-step process, easy to follow. - **Voice:** Human-like, clear, and instructional.

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