A resistor $R$ , an inductor $L$ and capacitor $C$ are connected in series to an oscillator of frequency $n$ . If the resonant frequency is $n_{r}$ , then the current lags behind voltage, when

n = 0

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n < n_{r}

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n = n_{r}

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n > n_{r}

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Solution

The correct option is D $n > n_{r}$
When reactance of inductance is more than the reactance of condenser, the current lag behind the voltage.
Thus $ω L < \frac{1}{ω c}$ or $ω > \frac{1}{\sqrt{L C}}$
or $n > \frac{1}{2 π \sqrt{L C}}$ or $n > n_{r}$
$n_{r} =$ resonant frequency

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When $n$ resistors, each of resistance $R$ , are connected in series, the equivalent resistance is ___. When $n$ resistors, each of resistance $R$ , are connected in parallel, their equivalent resistance is ___.

Q. Shew that the highest power of

n

which is contained in

n^{r} - 1

is equal to

\frac{n^{r} - n r + r - 1}{n - 1}

Q. For

2 \leq r \leq n, (_{r}^{n + 1}) + (_{r - 1}^{n}) + (_{r - 2}^{n})

is equal to-

Q. For

2 \geq r \geq n, (_{n}^{r}) + 2 (_{n}^{r - 1}) + (_{n}^{r - 2})

Q. For

2 \leq r \leq n

(\begin{matrix} n r \end{matrix}) + 2 (\begin{matrix} n r - 1 \end{matrix}) + (\begin{matrix} n r - 2 \end{matrix}) =

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A resistor R, an inductor L and capacitor C are connected in series to an oscillator of frequency n. If the resonant frequency is nr, then the current lags behind voltage, when

The correct option is D n>nrWhen reactance of inductance is more than the reactance of condenser, the current lag behind the voltage.Thus ωL<1ωc or ω>1√LCor n>12π√LC or n>nrnr= resonant frequency

A resistor $R$ , an inductor $L$ and capacitor $C$ are connected in series to an oscillator of frequency $n$ . If the resonant frequency is $n_{r}$ , then the current lags behind voltage, when

The correct option is D $n > n_{r}$
When reactance of inductance is more than the reactance of condenser, the current lag behind the voltage.
Thus $ω L < \frac{1}{ω c}$ or $ω > \frac{1}{\sqrt{L C}}$
or $n > \frac{1}{2 π \sqrt{L C}}$ or $n > n_{r}$
$n_{r} =$ resonant frequency