Complete Question
A flat loop of wire consisting of a single turn of cross-sectional area 8.00 cm2 is perpendicular to a magnetic field that increases uniformly in magnitude from 0.500 T to 1.60 T in 0.99 s. What is the resulting induced current if the loop has a resistance of
![1.20 \ \Omega](https://img.qammunity.org/2021/formulas/physics/college/7992zrvzm49rsm5vstnq6racb4mgv6b3jc.png)
Answer:
The current is
Step-by-step explanation:
From the question we are told that
The area is
The initial magnetic field at
is
![B_i = 0.500 \ T](https://img.qammunity.org/2021/formulas/physics/college/sl9kbwmtdc5uoa4qp4bmpqkde5nxlwaq0u.png)
The magnetic field at
is
![B_f = 1.60 \ T](https://img.qammunity.org/2021/formulas/physics/college/oh4hs0mm2sxzbop25jt9wqpegy2d30n17b.png)
The resistance is
![R = 1.20 \ \Omega](https://img.qammunity.org/2021/formulas/physics/college/ca1zhduattfthrgl4o6f16ezh6w78aioft.png)
Generally the induced emf is mathematically represented as
![\epsilon = A * (B_f - B_i )/( t_f - t_o )](https://img.qammunity.org/2021/formulas/physics/college/8dt68qjp0l2xo8aotrhs7a7cd51m7vix6t.png)
=>
![\epsilon = 8.0 *10^(-4) * (1.60 - 0.500 )/( 0.99- 0 )](https://img.qammunity.org/2021/formulas/physics/college/yjycrvbj72wyd94p6012a17u9sg5y91a6e.png)
=>
![\epsilon = 0.000889 \ V](https://img.qammunity.org/2021/formulas/physics/college/arsr56ym25j1qqv2gqrg77hjdg8zjbg8lu.png)
Generally the current induced is mathematically represented as
![I = (\epsilon)/(R )](https://img.qammunity.org/2021/formulas/physics/college/l1a4x4qz4dzziza84563pjqpx6z3vriwsg.png)
=>
=>