Weber/m² is equal to

a) dyne

b) tesla

c) watt

d) henry

To determine what Weber per square meter (Wb/m²) is equal to, we need to analyze the units involved. The unit of Weber (Wb) is used to measure magnetic flux, while square meters (m²) represent area. When we look at the options provided—dyne, tesla, watt, and henry—we can identify the correct relationship.

Understanding the Units

First, let's break down the options:

• Dyne: This is a unit of force in the centimeter-gram-second (CGS) system, not directly related to magnetic flux.
• Tesla: This is the SI unit of magnetic flux density, defined as one Weber per square meter. Therefore, 1 Wb/m² = 1 T.
• Watt: This is a unit of power, equivalent to one joule per second, and does not relate to magnetic flux.
• Henry: This is the unit of inductance, which relates to how much voltage is induced by a change in current, but it is not directly related to magnetic flux density.

Connecting the Dots

From our analysis, we can see that the unit of Tesla (T) is defined as one Weber per square meter. This means that when we express magnetic flux density, we can use either Wb/m² or T interchangeably. Thus, the correct answer to the question is:

b) tesla

Real-World Application

Understanding this relationship is crucial in fields like physics and engineering, particularly in electromagnetism. For instance, when designing electric motors or generators, engineers often need to calculate the magnetic flux density to ensure efficient operation. Knowing that 1 Wb/m² equals 1 T allows for easier conversions and calculations in these applications.

In summary, Weber per square meter is equivalent to tesla, which is a fundamental concept in understanding magnetic fields and their applications in technology.