","comment":{"@type":"Comment","text":"The ratio of resistance of two coils of transformers is opposite the number of turns as the number of turns increases resistance decreases. "},"encodingFormat":"text/markdown","suggestedAnswer":[{"@type":"Answer","encodingFormat":"text/html","text":" $$5.92\\times {{10}^{-5}}\\,T$$","position":0},{"@type":"Answer","encodingFormat":"text/html","text":" $$1.29\\times {{10}^{-5}}\\,T$$","position":1},{"@type":"Answer","encodingFormat":"text/html","text":" $$2.5\\times {{10}^{-4}}\\,T$$","position":2}],"acceptedAnswer":[{"@type":"Answer","encodingFormat":"text/html","text":" $$8.29\\times {{10}^{-1}}\\,T$$","position":3,"answerExplanation":{"@type":"Comment","text":" $$\\dfrac{{{R}_{1}}}{{{R}_{2}}}=\\dfrac{{{n}_{2}}}{{{n}_{1}}}\\\\ \\Rightarrow \\dfrac{{{R}_{1}}}{12}=\\dfrac{10}{400}\\\\ \\Rightarrow {{R}_{1}}=0.3\\Omega\\\\ \\text{Current in primary coil}\\\\ {{i}_{1}}=\\dfrac{V}{{{R}_{1}}}\\\\ \\Rightarrow {{i}_{1}} =\\dfrac{360}{0.3}\\\\ \\Rightarrow {{i}_{1}} =1200A\\\\ \\text{Magnetic induction-}\\\\ B={{\\mu }_{\\circ }}ni\\\\ \\Rightarrow B =4\\pi \\times {{10}^{-7}}\\times 550\\times 1200\\\\ \\therefore B =8.29\\times {{10}^{-1}}\\,T$$","encodingFormat":"text/html"},"comment":{"@type":"Comment"}}]},{"@type":"Question","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","educationalLevel":"beginner","name":"Transformers Quiz 1","text":" A new transformer is to be constructed for a factory of required output power from the transformer of $$\\text{120 }kW$$. But the owner of the factory is aware of the condition that there will be some losses in the functioning of the transformer which will be equal to $$\\text{10 }kW$$. The efficiency of transformer will be equal to- ","comment":{"@type":"Comment","text":"Efficiency of transformer will decrease if losses in transformer increases. "},"encodingFormat":"text/markdown","suggestedAnswer":[{"@type":"Answer","encodingFormat":"text/html","text":" $$98.2\\%$$","position":0},{"@type":"Answer","encodingFormat":"text/html","text":" $$96.1\\%$$","position":1},{"@type":"Answer","encodingFormat":"text/html","text":" $$99.2\\%$$","position":2}],"acceptedAnswer":[{"@type":"Answer","encodingFormat":"text/html","text":" $$92.3\\%$$","position":3,"answerExplanation":{"@type":"Comment","text":" $$ e=\\dfrac{\\text{output}}{\\text{output+loss}}\\times 100\\\\ \\Rightarrow e =\\dfrac{120}{120+130}\\times 100\\\\ \\therefore e =92.3\\%$$","encodingFormat":"text/html"},"comment":{"@type":"Comment"}}]}]}