text stringlengths 515 5k | conversation_id int64 7 20k | embedding sequencelengths 4.1k 4.1k | cluster int64 8 8 |
|---|---|---|---|
A long straight conductor carries a current of 5 A. What is the magnetic field (in Teslas) at a distance of 7 cm from the conductor?
To calculate the magnetic field at a distance from a long straight conductor, we can use the Biot-Savart Law. However, for a long straight conductor, Ampere's Law is more convenient. The ... | 7 | [
0.01060305256396532,
0.007588446605950594,
-0.020415296778082848,
-0.021619874984025955,
0.004003345500677824,
-0.015685327351093292,
-0.01221435982733965,
0.009305927902460098,
-0.033406514674425125,
0.004441751167178154,
-0.00042243098141625524,
0.030792206525802612,
-0.00901364628225565,
... | 8 |
"A concave lens with a focal length of 10 cm is placed 15 cm away from an object. Find the image distance and magnification of the object."
To find the image distance and magnification of the object, we can use the lens formula and magnification formula.
The lens formula is given by:
1/f = 1/u + 1/v
where f is the fo... | 29 | [
0.012929999269545078,
-0.019812658429145813,
0.009595048613846302,
-0.008579990826547146,
-0.000652289658319205,
0.018963906913995743,
-0.004650165792554617,
-0.017040710896253586,
-0.00033927580807358027,
-0.016965264454483986,
0.01229768991470337,
-0.004709005355834961,
0.00622167857363820... | 8 |
"A current-carrying rectangular sheet of dimensions 4m x 2m carries a current of 5A in the positive (...TRUNCATED) | 88 | [-0.005174081772565842,-0.0025942723732441664,-0.021949296817183495,-0.016176480799913406,0.01049392(...TRUNCATED) | 8 |
"What is the magnitude and direction of the magnetic field at a distance of 2 cm from a current-carr(...TRUNCATED) | 127 | [-0.018959399312734604,-0.014011887833476067,-0.023624006658792496,-0.018551025539636612,0.013943738(...TRUNCATED) | 8 |
"A current-carrying inductor has an inductance of 2 H and carries a current of 3 A. What is the magn(...TRUNCATED) | 164 | [-0.0008083388092927635,-0.005700996611267328,-0.017548473551869392,-0.03097669966518879,-0.00155834(...TRUNCATED) | 8 |
"A square loop of side length 0.2 m is carrying a current of 3 A. What is the magnetic field at the (...TRUNCATED) | 213 | [0.0037164699751883745,-0.021601850166916847,0.0017803136724978685,-0.01089462824165821,-0.000021104(...TRUNCATED) | 8 |
"A coaxial cable with an outer radius of 10 mm and an inner radius of 5 mm has a current of 2 A flow(...TRUNCATED) | 263 | [-0.0027201371267437935,-0.02304512821137905,-0.015581751242280006,-0.005447922274470329,-0.00727703(...TRUNCATED) | 8 |
"A transformer has a primary coil of 200 turns carrying a current of 5 A, and a secondary coil of 80(...TRUNCATED) | 266 | [-0.00652659498155117,-0.022219166159629822,-0.013575674034655094,-0.028761882334947586,-0.006025630(...TRUNCATED) | 8 |
"A rectangular loop with sides of length 10 cm and 5 cm carries a current of 2 A. What is the magnit(...TRUNCATED) | 270 | [-0.00028168389690108597,-0.032963138073682785,-0.012819839641451836,0.00242325640283525,0.017110466(...TRUNCATED) | 8 |
"A toroid has a mean radius of 10 cm, an outer radius of 15 cm and 350 turns of wire. If a current o(...TRUNCATED) | 279 | [-0.0029506476130336523,-0.00046021927846595645,-0.023915091529488564,-0.008955412544310093,0.013265(...TRUNCATED) | 8 |
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