Param Himalaya - परम हिमालय

8.1 Figure 8.5 shows a capacitor made of two circular plates each of radius 12 cm, and separated by 5.0 cm. The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to 0.15A.  (a) Calculate the capacitance and the rate of change of potential difference between the plates.  (b) Obtain the displacement current across the plates. c) Is Kirchhoff's first rule (junction rule) valid at each plate of the capacitor? Explain  Solution :  (a)Using  $$C = \frac{\epsilon_{0} A}{d}$$ $$C = \frac{8.854 \times 10^{-12} \times \pi r^{2}}{d}$$ $$C = \frac{8.854 \times 10^{-12} \times 3.14 \times (12\times 10^{-2})^{2}}{5\times 10^{-2}}$$ $$C = 800.7 \times 10^{-14}$$ $$C = 8 pF$$ Now using  $$V = \frac{Q}{C}$$ $$\frac{dV}{dt} = \frac{1}{C}\frac{dQ}{dt}$$ $$or \frac{dV}{dt} = \frac{I}{C} = \frac{0.15}{8 \times 10^{-12}}$$ $$\frac{dV}{dt}= 1.875 \times 10^{10}VS^{-1}$$ (b) Displacement Current  $$I_{d} = \...

NCERT Solutions for Class 12 Physics Chapter 7 Alternating Current - Param Himalaya  7.1. A 100 Ω resistor is connected to a 220 V, 50 Hz ac supply. (a) What is the rms value of current in the circuit? (b) What is the net power consumed over a full cycle? Solution :  (a) $I_{rms} = \frac{v_{rms}}{R} = \frac{220}{100} = 2.20 A$ (b) $Net power = V_{rms} \times I_{rms} = 220 \times 2.20$ = 484 W 7.2 (a) The peak voltage of an ac supply is 300 V. What is the rms voltage? (b) The rms value of current in an ac circuit is 10 A. What is the peak current?  Solution:   (a) $V_{rms} = \frac{V_{0}}{\sqrt{2}} =\frac{300}{\sqrt{2}} = 212.1 V$ (b) $I_{rms} = \frac{I_{0}}{\sqrt{2}}$ $I_{0} = I_{rms} \sqrt{2} = 10 \sqrt{2} = 14.1A$ 7.3 A 44 mH inductor is connected to 220 V , 50 Hz ac supply. Determine the rms value of the current in the circuit. Solution:  Here , Reactance $X_{L} = 2 \pi\nu L = 2\pi \times 50 \times 44 \times 10^{-3}$ $\therefore I_{rms} = \frac{V_{rms}}{X_{L}}...

Ncert Solution class 12 Physics chapter 6 Electromagnetic induction : 6.1 Predict the direction of induced current in the situation described by the following Fig. 2(a) to (f). Ans : (a)  The given figure shows the South Pole of a bar magnet moving towards a closed loop. The direction of the induced current in a closed loop is given by Lenz's law. Using Lenz's rule, the direction of the induced current will be such that the face of the loop towards the approaching South Pole behaves as South Pole. Because the current induced in solenoid will oppose the approach of magnet and therefore the current at the nearer face should flow clockwise i.e., 𝑞𝑟𝑝𝑞 And (b)  i The given figure shows the South Pole of a bar magnet moving towards the first closed loop (qrpq) and North Pole of the bar magnet moving away from the second loop (yzxy). The direction of the induced current in a closed loop is given by Lenz's law. Using Lenz's rule, the direction of the induced current in the ...

Lyrics - जननी जन्मभूमि स्वर्ग से महान है , janani janambhoomi swarg se mahaan hai Iske vaaste ye tan hai  जननी जन्मभूमि स्वर्ग से महान है"। जननी-जन्मभूमि स्वर्ग से महान है । इसके वास्ते ये तन है मन है और प्राण है ॥ जननी-जन्मभूमि स्वर्ग से महान है ॥ध्रु॥ इसके कण-कण पे लिखा राम-कृष्ण नाम है । हुतात्माओं के रुधिर से भूमि शस्य-श्याम है । धर्म का ये धाम है, सदा इसे प्रणाम है । स्वतंत्र है यह धरा, स्वतंत्र आसमान है ॥१॥ इसके आन पे अगर जो बात कोई आ पड़े । इसके सामने जो ज़ुल्म के पहाड़ हों खड़े । शत्रु सब जहान हो, विरुद्ध आसमान हो । मुकाबला करेंगे जब तक जान में ये जान है ॥२॥ इसकी गोद में हज़ारों गंगा-यमुना झूमती । इसके पर्वतों की चोटियाँ गगन को चूमती । भूमि ये महान है, निराली इसकी शान है । इसके जय-पताके पे लिखा विजय-निशान ॥३॥ इसके वास्ते ये तन है, मन है और प्राण है । जननी जन्मभूमि स्वर्ग से महान है ॥ !! भारत माता की जय !!

NCERT Solution Class 1O Science Chapter 12 Magnetic Effects of Electric Current  - Param Himalaya Page number 196 1. Why does a compass needle get deflected when brought near a bar magnet? Solution : A compass needle is a small bar magnet when it is brought near a bar magnet its magnetic field lines interact with that of the bar magnet. Hence , a compass needle shows a deflection when brought near the bar magnet Example 12.1 A current through a horizontal power line flows in east to west direction. What is the direction of magnetic field at a point directly below it and at a point directly above it? Solution The current is in the east-west direction. Applying the right-hand thumb rule, we get that the magnetic field (at any point below or above the wire) turns clockwise in a plane perpendicular to the wire, when viewed from the east end, and anti-clockwise, when viewed from the west end. Page number 200 1. Draw magnetic field lines around a bar magnet. Solution : Magnetic field lin...

Lyrics : Vishv Gagan Par Fir Se Gunje Bharat Maa Ki Jay विश्व गगन पर फिर से गूंजे - Rss geet विश्व गगन पर फिर से गूंजे ,भारत माँ की जय जय जय।  बढ़ते जायें हो निर्भय ,बढ़ते जायें हो निर्भय।। कालजयी है चिंतन अपना ,सभी सुखी हों एक ही सपना।  जगती है परिवार हमारा ,जगती है परिवार हमारा , चमके अपना शिल्विनय। । बढ़ते जायें ... विश्व गगन पर फिर से गूंजे ,भारत माँ की जय जय जय।  बढ़ते जायें हो निर्भय ,बढ़ते जायें हो निर्भय।। अपनी शांति को प्रकटाये ,स्नेहमृत पल -पल छलकाए  भेद अभाओं को हारना है ,भेद अभाओं को हराना है , मंगलमय नव अरुणोदय।। बढ़ते जाये ... विश्व गगन पर फिर से गूंजे ,भारत माँ की जय जय जय।  बढ़ते जायें हो निर्भय ,बढ़ते जायें हो निर्भय।। सृष्टि की समझे रचनाएँ ,सम्यक विकास पथ अपनाये  वायु जल भूमि तत्वों को ,वायु जल भूमि तत्वों को , सदा रखेंगे तेजोमय।। बढ़ते जायें .... विश्व गगन पर फिर से गूंजे ,भारत माँ की जय जय जय।  बढ़ते जायें हो निर्भय ,बढ़ते जायें हो निर्भय।। जीवन व्रत यह चले अखंडित ,तन मन धन सर्वश्व समर्पित  जतगुरू सिंहासन सोहे ,जतगुरू सिंहासन सोहे , ग...

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