Induced Electromotive Force
PHXII06:ELECTROMAGNETIC INDUCTION

358461 A conducting square loop of side length ' \(d\) ' with its edges parallel to \(x\)-axis and \(y\)-axis move with velocity \({v_0}\widehat i\) in a region having magnetic field \(\overrightarrow B = \frac{{{B_0}x}}{a}\widehat k\). Find the induced emf.
supporting img

1 \(\frac{{B{d^2}{v_0}}}{{2a}}\)
2 \(\frac{{B{d^2}{v_0}}}{a}\)
3 \(\frac{{B{d^2}v_0^2}}{{2a}}\)
4 \(\frac{{B{d^2}v_0^2}}{a}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358462 An electric potential difference will be induced between the ends of the conductor shown in the figure, if the conductor moves in the direction shown by
supporting img

1 \(P\)
2 \(R\)
3 \(L\)
4 \(M\)
PHXII06:ELECTROMAGNETIC INDUCTION

358463 Figure shows a copper rod moving with velocity \(v\) parallel to a long straight wire carrying current 100A. Calculate the induced emf in the rod, where \(v = 5\;\,m{s^{ - 1}},\,a = 1\;\,cm,\,b = 100\,\;cm.\)
supporting img

1 \(0.23\,mV\)
2 \(0.46\,mV\)
3 \(0.16\,mV\)
4 \(0.32 \mathrm{mV}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358464 A wire bent as a parabola \(y=k x^{2}\) is located in a uniform magnetic field of induction \(B\), the vector \(B\) being perpendicular to the plane \(x y\). At \(t = 0\), conducting rod starts sliding from the vertex \(O\) with a constant acceleration \(a\) linearly as shown in figure. Find the emf induced in the loop.
supporting img

1 \(By\sqrt {\frac{a}{k}} \)
2 \(By\sqrt {\frac{{4a}}{k}} \)
3 \(By\sqrt {\frac{{8a}}{k}} \)
4 \(By\sqrt {\frac{{2a}}{k}} \)
PHXII06:ELECTROMAGNETIC INDUCTION

358465 A thin semicircular conducting ring \((P Q R)\) of radius \(r\) is falling with its plane vertical in a horizontal magnetic field \(B\), as shown in figure. The potential difference developed across the ring when its speed is \(v\), is
supporting img

1 \(Bv\pi {r^2}/2\) and \(P\) is at higher potential
2 Zero
3 \(2rBv\) and \(R\) is at higher potential
4 \(\pi rBv\) and \(R\) is at higher potential
PHXII06:ELECTROMAGNETIC INDUCTION

358461 A conducting square loop of side length ' \(d\) ' with its edges parallel to \(x\)-axis and \(y\)-axis move with velocity \({v_0}\widehat i\) in a region having magnetic field \(\overrightarrow B = \frac{{{B_0}x}}{a}\widehat k\). Find the induced emf.
supporting img

1 \(\frac{{B{d^2}{v_0}}}{{2a}}\)
2 \(\frac{{B{d^2}{v_0}}}{a}\)
3 \(\frac{{B{d^2}v_0^2}}{{2a}}\)
4 \(\frac{{B{d^2}v_0^2}}{a}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358462 An electric potential difference will be induced between the ends of the conductor shown in the figure, if the conductor moves in the direction shown by
supporting img

1 \(P\)
2 \(R\)
3 \(L\)
4 \(M\)
PHXII06:ELECTROMAGNETIC INDUCTION

358463 Figure shows a copper rod moving with velocity \(v\) parallel to a long straight wire carrying current 100A. Calculate the induced emf in the rod, where \(v = 5\;\,m{s^{ - 1}},\,a = 1\;\,cm,\,b = 100\,\;cm.\)
supporting img

1 \(0.23\,mV\)
2 \(0.46\,mV\)
3 \(0.16\,mV\)
4 \(0.32 \mathrm{mV}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358464 A wire bent as a parabola \(y=k x^{2}\) is located in a uniform magnetic field of induction \(B\), the vector \(B\) being perpendicular to the plane \(x y\). At \(t = 0\), conducting rod starts sliding from the vertex \(O\) with a constant acceleration \(a\) linearly as shown in figure. Find the emf induced in the loop.
supporting img

1 \(By\sqrt {\frac{a}{k}} \)
2 \(By\sqrt {\frac{{4a}}{k}} \)
3 \(By\sqrt {\frac{{8a}}{k}} \)
4 \(By\sqrt {\frac{{2a}}{k}} \)
PHXII06:ELECTROMAGNETIC INDUCTION

358465 A thin semicircular conducting ring \((P Q R)\) of radius \(r\) is falling with its plane vertical in a horizontal magnetic field \(B\), as shown in figure. The potential difference developed across the ring when its speed is \(v\), is
supporting img

1 \(Bv\pi {r^2}/2\) and \(P\) is at higher potential
2 Zero
3 \(2rBv\) and \(R\) is at higher potential
4 \(\pi rBv\) and \(R\) is at higher potential
PHXII06:ELECTROMAGNETIC INDUCTION

358461 A conducting square loop of side length ' \(d\) ' with its edges parallel to \(x\)-axis and \(y\)-axis move with velocity \({v_0}\widehat i\) in a region having magnetic field \(\overrightarrow B = \frac{{{B_0}x}}{a}\widehat k\). Find the induced emf.
supporting img

1 \(\frac{{B{d^2}{v_0}}}{{2a}}\)
2 \(\frac{{B{d^2}{v_0}}}{a}\)
3 \(\frac{{B{d^2}v_0^2}}{{2a}}\)
4 \(\frac{{B{d^2}v_0^2}}{a}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358462 An electric potential difference will be induced between the ends of the conductor shown in the figure, if the conductor moves in the direction shown by
supporting img

1 \(P\)
2 \(R\)
3 \(L\)
4 \(M\)
PHXII06:ELECTROMAGNETIC INDUCTION

358463 Figure shows a copper rod moving with velocity \(v\) parallel to a long straight wire carrying current 100A. Calculate the induced emf in the rod, where \(v = 5\;\,m{s^{ - 1}},\,a = 1\;\,cm,\,b = 100\,\;cm.\)
supporting img

1 \(0.23\,mV\)
2 \(0.46\,mV\)
3 \(0.16\,mV\)
4 \(0.32 \mathrm{mV}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358464 A wire bent as a parabola \(y=k x^{2}\) is located in a uniform magnetic field of induction \(B\), the vector \(B\) being perpendicular to the plane \(x y\). At \(t = 0\), conducting rod starts sliding from the vertex \(O\) with a constant acceleration \(a\) linearly as shown in figure. Find the emf induced in the loop.
supporting img

1 \(By\sqrt {\frac{a}{k}} \)
2 \(By\sqrt {\frac{{4a}}{k}} \)
3 \(By\sqrt {\frac{{8a}}{k}} \)
4 \(By\sqrt {\frac{{2a}}{k}} \)
PHXII06:ELECTROMAGNETIC INDUCTION

358465 A thin semicircular conducting ring \((P Q R)\) of radius \(r\) is falling with its plane vertical in a horizontal magnetic field \(B\), as shown in figure. The potential difference developed across the ring when its speed is \(v\), is
supporting img

1 \(Bv\pi {r^2}/2\) and \(P\) is at higher potential
2 Zero
3 \(2rBv\) and \(R\) is at higher potential
4 \(\pi rBv\) and \(R\) is at higher potential
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXII06:ELECTROMAGNETIC INDUCTION

358461 A conducting square loop of side length ' \(d\) ' with its edges parallel to \(x\)-axis and \(y\)-axis move with velocity \({v_0}\widehat i\) in a region having magnetic field \(\overrightarrow B = \frac{{{B_0}x}}{a}\widehat k\). Find the induced emf.
supporting img

1 \(\frac{{B{d^2}{v_0}}}{{2a}}\)
2 \(\frac{{B{d^2}{v_0}}}{a}\)
3 \(\frac{{B{d^2}v_0^2}}{{2a}}\)
4 \(\frac{{B{d^2}v_0^2}}{a}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358462 An electric potential difference will be induced between the ends of the conductor shown in the figure, if the conductor moves in the direction shown by
supporting img

1 \(P\)
2 \(R\)
3 \(L\)
4 \(M\)
PHXII06:ELECTROMAGNETIC INDUCTION

358463 Figure shows a copper rod moving with velocity \(v\) parallel to a long straight wire carrying current 100A. Calculate the induced emf in the rod, where \(v = 5\;\,m{s^{ - 1}},\,a = 1\;\,cm,\,b = 100\,\;cm.\)
supporting img

1 \(0.23\,mV\)
2 \(0.46\,mV\)
3 \(0.16\,mV\)
4 \(0.32 \mathrm{mV}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358464 A wire bent as a parabola \(y=k x^{2}\) is located in a uniform magnetic field of induction \(B\), the vector \(B\) being perpendicular to the plane \(x y\). At \(t = 0\), conducting rod starts sliding from the vertex \(O\) with a constant acceleration \(a\) linearly as shown in figure. Find the emf induced in the loop.
supporting img

1 \(By\sqrt {\frac{a}{k}} \)
2 \(By\sqrt {\frac{{4a}}{k}} \)
3 \(By\sqrt {\frac{{8a}}{k}} \)
4 \(By\sqrt {\frac{{2a}}{k}} \)
PHXII06:ELECTROMAGNETIC INDUCTION

358465 A thin semicircular conducting ring \((P Q R)\) of radius \(r\) is falling with its plane vertical in a horizontal magnetic field \(B\), as shown in figure. The potential difference developed across the ring when its speed is \(v\), is
supporting img

1 \(Bv\pi {r^2}/2\) and \(P\) is at higher potential
2 Zero
3 \(2rBv\) and \(R\) is at higher potential
4 \(\pi rBv\) and \(R\) is at higher potential
PHXII06:ELECTROMAGNETIC INDUCTION

358461 A conducting square loop of side length ' \(d\) ' with its edges parallel to \(x\)-axis and \(y\)-axis move with velocity \({v_0}\widehat i\) in a region having magnetic field \(\overrightarrow B = \frac{{{B_0}x}}{a}\widehat k\). Find the induced emf.
supporting img

1 \(\frac{{B{d^2}{v_0}}}{{2a}}\)
2 \(\frac{{B{d^2}{v_0}}}{a}\)
3 \(\frac{{B{d^2}v_0^2}}{{2a}}\)
4 \(\frac{{B{d^2}v_0^2}}{a}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358462 An electric potential difference will be induced between the ends of the conductor shown in the figure, if the conductor moves in the direction shown by
supporting img

1 \(P\)
2 \(R\)
3 \(L\)
4 \(M\)
PHXII06:ELECTROMAGNETIC INDUCTION

358463 Figure shows a copper rod moving with velocity \(v\) parallel to a long straight wire carrying current 100A. Calculate the induced emf in the rod, where \(v = 5\;\,m{s^{ - 1}},\,a = 1\;\,cm,\,b = 100\,\;cm.\)
supporting img

1 \(0.23\,mV\)
2 \(0.46\,mV\)
3 \(0.16\,mV\)
4 \(0.32 \mathrm{mV}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358464 A wire bent as a parabola \(y=k x^{2}\) is located in a uniform magnetic field of induction \(B\), the vector \(B\) being perpendicular to the plane \(x y\). At \(t = 0\), conducting rod starts sliding from the vertex \(O\) with a constant acceleration \(a\) linearly as shown in figure. Find the emf induced in the loop.
supporting img

1 \(By\sqrt {\frac{a}{k}} \)
2 \(By\sqrt {\frac{{4a}}{k}} \)
3 \(By\sqrt {\frac{{8a}}{k}} \)
4 \(By\sqrt {\frac{{2a}}{k}} \)
PHXII06:ELECTROMAGNETIC INDUCTION

358465 A thin semicircular conducting ring \((P Q R)\) of radius \(r\) is falling with its plane vertical in a horizontal magnetic field \(B\), as shown in figure. The potential difference developed across the ring when its speed is \(v\), is
supporting img

1 \(Bv\pi {r^2}/2\) and \(P\) is at higher potential
2 Zero
3 \(2rBv\) and \(R\) is at higher potential
4 \(\pi rBv\) and \(R\) is at higher potential