Question
Suppose a motorcycle increases the downward component of the magnetic field within a loop only from $1.2 \times 10^{-5} \mathrm{T}$ to $1.9 \times 10^{-5} \mathrm{T} .$ The detector is square, is 0.75 $\mathrm{m}$ on a side, and has four loops of wire. Over what period of time must the magnetic field increase if it is to induce an emf of $1.4 \times 10^{-4} \mathrm{V} ?$A. 0.028 $\mathrm{s} \quad$ B. 0.11 $\mathrm{s}$ C. 0.35 s $\quad$ D. 0.60 $\mathrm{s}$
Step 1
Mathematically, this is represented as: \[ \varepsilon = -N \frac{d\Phi}{dt} \] where: - \(\varepsilon\) is the induced emf, - \(N\) is the number of turns in the coil, - \(\Phi\) is the magnetic flux, and - \(t\) is the time. Show more…
Show all steps
Your feedback will help us improve your experience
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A motorcycle can increase the downward-pointing component of the magnetic field within a loop only from $1.2 \times 10^{-5}$ T to $1.9 \times 10^{-5}$ T. Suppose the detector is square, $0.75 \mathrm{~m}$ on a side, and has four loops of wire. Over what period of time must the magnetic field increase if it is to induce an emf of $1.4 \times 10^{-4} \mathrm{~V} ?$ A. $0.028 \mathrm{~s}$ C. $0.35 \mathrm{~s}$ B. $0.11 \mathrm{~s}$ D. $0.60 \mathrm{~s}$
A car drives onto a loop detector and increases the downward component of the magnetic field within the loop from $1.2 \times 10^{-5} \mathrm{T}$ to $2.6 \times 10^{-5} \mathrm{T}$ in $0.38 \mathrm{s} .$ What is the induced emf in the detector if it is circular, has a radius of $0.67 \mathrm{m},$ and consists of four loops of wire? A. $0.66 \times 10^{-4} \mathrm{V}$ B. $1.5 \times 10^{-4} \mathrm{V}$ C. $2.1 \times 10^{-4} \mathrm{V}$ D. $6.2 \times 10^{-4} \mathrm{V}$
A car drives onto a loop detector and increases the downward component of the magnetic field within the loop from $1.2 \times 10^{-5} \mathrm{T}$ to $2.6 \times 10^{-5} \mathrm{Tin} 0.38 \mathrm{s} .$ What is the induced emf in the detector if it is circular, has a radius of $0.67 \mathrm{m},$ and consists of four loops of wire? A. $0.66 \times 10^{-4} \mathrm{V} \quad$ B. $1.5 \times 10^{-4} \mathrm{V}$ C. $2.1 \times 10^{-4} \mathrm{V} \quad$ D. $6.2 \times 10^{-4} \mathrm{V}$
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD