What will be the current density of a metal if a current of 30A is passed through a cross-sectional area of 0.5m2?
Answer & step-by-step solution
Current density is current per unit cross-sectional area. Thus J = I/A = 30/0.5 = 60 A/m².
Concept & Reasoning
Current density describes how much current flows through a unit area normal to the current direction. For uniform current distribution, J = I/A. The area is already in square metres, so no unit conversion is required. Dividing 30 A by 0.5 m² gives 60 A/m².
How to Solve It in the Exam
Current density = current ÷ area.
Important Exam Point
Check that the area unit matches the required A/m² unit.
Quick Trick
Current density = current ÷ area.
Common Mistake
Multiplying current by area reverses the physical relationship.
यदि 0.5 m² अनुप्रस्थ काट क्षेत्रफल से 30 A करंट प्रवाहित किया जाए, तो धातु का करंट घनत्व कितना होगा?
उत्तर और चरणबद्ध हल
करंट घनत्व = प्रति इकाई अनुप्रस्थ काट क्षेत्रफल पर करंट। अतः J = I/A = 30/0.5 = 60 A/m²।
विस्तृत हल (मूल भाषा में)
Concept & Reasoning
Current density describes how much current flows through a unit area normal to the current direction. For uniform current distribution, J = I/A. The area is already in square metres, so no unit conversion is required. Dividing 30 A by 0.5 m² gives 60 A/m².
How to Solve It in the Exam
Current density = current ÷ area.
Important Exam Point
Check that the area unit matches the required A/m² unit.
Quick Trick
Current density = current ÷ area.
Common Mistake
Multiplying current by area reverses the physical relationship.
જો 0.5 m² આડછેદ ક્ષેત્રફળમાંથી 30 A કરંટ પસાર કરવામાં આવે, તો ધાતુની કરંટ ઘનતા કેટલી થશે?
જવાબ અને પગલાવાર ઉકેલ
કરંટ ઘનતા = એકમ આડછેદ ક્ષેત્રફળ દીઠ કરંટ. તેથી J = I/A = 30/0.5 = 60 A/m².
વિગતવાર ઉકેલ (મૂળ ભાષામાં)
Concept & Reasoning
Current density describes how much current flows through a unit area normal to the current direction. For uniform current distribution, J = I/A. The area is already in square metres, so no unit conversion is required. Dividing 30 A by 0.5 m² gives 60 A/m².
How to Solve It in the Exam
Current density = current ÷ area.
Important Exam Point
Check that the area unit matches the required A/m² unit.
Quick Trick
Current density = current ÷ area.
Common Mistake
Multiplying current by area reverses the physical relationship.
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