In an AC generator,a rectangular coil of 100 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The maximum induced electromotive force (emf) in an $AC$ generator is given by the formula: $\varepsilon_{\max} = NAB\omega$. Given: Number of tur

Vedclass · Accepted Answer

$1584$

Vedclass · Answer

(C) The maximum induced electromotive force (emf) in an $AC$ generator is given by the formula: $\varepsilon_{\max} = NAB\omega$. Given: Number of turns,$N = 100$. Area of the coil,$A = 14 	imes 10^{-2} \, m^2$. Magnetic field,$B = 3.0 \, T$. Frequency of rotation,$f = 360 \, rev/min = \frac{360}{60} \, rev/s = 6 \, Hz$. Angular velocity,$\omega = 2\pi f = 2 	imes \frac{22}{7} 	imes 6 \, rad/s$. Substituting these values into the formula: $\varepsilon_{\max} = 100 	imes (14 	imes 10^{-2}) 	imes 3.0 	imes (2 	imes \frac{22}{7} 	imes 6)$ $\varepsilon_{\max} = 100 	imes 0.14 	imes 3.0 	imes (12 	imes \frac{22}{7})$ $\varepsilon_{\max} = 14 	imes 3.0 	imes \frac{264}{7}$ $\varepsilon_{\max} = 42 	imes \frac{264}{7}$ $\varepsilon_{\max} = 6 	imes 264 = 1584 \, V$.

Similar Questions

$A$ circular coil of $1000$ turns, each with an area of $1 \, m^{2}$, is rotated about its vertical diameter at the rate of one revolution per second in a uniform horizontal magnetic field of $0.07 \, T$. The maximum voltage generated will be ......... $V$.

The phase difference between the magnetic flux linked with a coil rotating in a uniform magnetic field and the induced $e.m.f.$ produced in it is

An elliptical loop having resistance $R$,semi-major axis $a$,and semi-minor axis $b$ is placed in a magnetic field as shown in the figure. If the loop is rotated about the $x$-axis with angular frequency $\omega$,the average power loss in the loop due to Joule heating is:

$A$ generator with a circular coil of $100$ turns of area $2 \times 10^{-2} \,m^2$ is immersed in a $0.01 \,T$ magnetic field and rotated at a frequency of $50 \,Hz$. The maximum emf which is produced during a cycle is (in $\,V$)

$A$ long solenoid is carrying a current $I = I_0 \sin(\omega t)$,having $N$ turns per unit length and radius $R$. $A$ square loop is placed inside the solenoid with its plane perpendicular to the solenoid axis,and its corners touching the solenoid. Find the emf induced in the square coil.

Vedclass Test Series

Exam Paper Generator

Online Exam Module