-in-the-z-direction-and-the-area-vector-is-also-z-which-flux-integral-is-correct

Question

A rectangular loop of width 44 m	ext{m} in the yy-direction extends from x=1x = 1 m	ext{m} to x=3x = 3 m	ext{m}. The magnetic field is B(x)=2xB(x) = 2x T	ext{T} in the +z+z direction, and the area vector is also +z+z. Which flux integral is correct?

Accepted Answer

ΦB=∫13(2x)4 dx\Phi_{B}=\$$int_1^3$$\left(2x\right)4\,\mathrm{dx}

Answer

ΦB=∫13(2x)x dx\Phi_{B}=\$$int_1^3$$\left(2x\right)x\,\mathrm{dx}

Answer

ΦB=∫04(2x)4 dx\Phi_{B}=\$$int_0^4$$\left(2x\right)4\,\mathrm{dx}

Answer

ΦB=∫13(2x)4cos⁡90∘ dx\Phi_{B}=\$$int_1^3$$\left(2x\right)4\$$cos90^{\circ}$$\,\mathrm{dx}

A rectangular loop of width 44 m\(\text{m}\) in the yy-direction extends from x=1x = 1 m\(\text{m}\) to x=3x = 3 m\(\text{m}\). The magnetic field is B(x)=2xB(x) = 2x T\(\text{T}\) in the +z+z direction, and the area vector is also +z+z. Which flux integral is correct?

A rectangular loop of width $4$ $m$ in the $y$ -direction extends from $x equals 1$ $m$ to $x equals 3$ $m$ . The magnetic field is $B of x equals 2 x$ $T$ in the $+ z$ direction, and the area vector is also $+ z$ . Which flux integral is correct?