Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The strength of a magnetic field is measured in teslas. One tesla is equal to one weber per square meter, as follows:

1T=1(Wb)/(m^(2))
Divya is building a circuit for her physics class. Point 
P on one of her wires has a magnetic field strength of 
6*10^(6) webers per square megameter, where 1 megameter is equal to 
10^(6) meters. What is the magnetic field strength in teslas?
Choose 1 answer:
(A) 
6*10^(-6) teslas
(B) 
6*10^(0) teslas
(C) 
6*10^(12) teslas
(D) 
6*10^(18) teslas

The strength of a magnetic field is measured in teslas. One tesla is equal to one weber per square meter, as follows:\newline1 T=1Wbm2 1 \mathrm{~T}=1 \frac{\mathrm{Wb}}{\mathrm{m}^{2}} \newlineDivya is building a circuit for her physics class. Point P P on one of her wires has a magnetic field strength of 6106 6 \cdot 10^{6} webers per square megameter, where 11 megameter is equal to 106 10^{6} meters. What is the magnetic field strength in teslas?\newlineChoose 11 answer:\newline(A) 6106 6 \cdot 10^{-6} teslas\newline(B) 6100 6 \cdot 10^{0} teslas\newline(C) 61012 6 \cdot 10^{12} teslas\newline(D) 61018 6 \cdot 10^{18} teslas

Full solution

Q. The strength of a magnetic field is measured in teslas. One tesla is equal to one weber per square meter, as follows:\newline1 T=1Wbm2 1 \mathrm{~T}=1 \frac{\mathrm{Wb}}{\mathrm{m}^{2}} \newlineDivya is building a circuit for her physics class. Point P P on one of her wires has a magnetic field strength of 6106 6 \cdot 10^{6} webers per square megameter, where 11 megameter is equal to 106 10^{6} meters. What is the magnetic field strength in teslas?\newlineChoose 11 answer:\newline(A) 6106 6 \cdot 10^{-6} teslas\newline(B) 6100 6 \cdot 10^{0} teslas\newline(C) 61012 6 \cdot 10^{12} teslas\newline(D) 61018 6 \cdot 10^{18} teslas
  1. Understand Conversion Relationship: Understand the conversion between webers per square megameter and teslas.\newlineWe know that 11 tesla (T) is equal to 11 weber per square meter (Wb/m2\text{Wb/m}^2). We are given the magnetic field strength at point P as 6×1066\times10^6 webers per square megameter. To convert this to teslas, we need to understand the relationship between a megameter and a meter.\newline11 megameter =106= 10^6 meters\newlineTherefore, 11 square megameter =(106 meters)2=1012= (10^6 \text{ meters})^2 = 10^{12} square meters.
  2. Convert to Square Meter: Convert the given magnetic field strength from webers per square megameter to webers per square meter.\newlineThe given strength is 6×1066\times10^6 webers per square megameter. Since 11 square megameter is 101210^{12} square meters, we need to divide the given strength by 101210^{12} to convert it to webers per square meter.\newlineMagnetic field strength in teslas = (6×106(6\times10^6 webers per square megameter) / (101210^{12} square meters per square megameter)
  3. Perform Division: Perform the division to find the magnetic field strength in teslas.\newlineMagnetic field strength in teslas = (6×106)/(1012)(6\times10^6) / (10^{12})\newlineMagnetic field strength in teslas = 6×106126\times10^{6-12}\newlineMagnetic field strength in teslas = 6×1066\times10^{-6} teslas

More problems from Interpret parts of quadratic expressions: word problems